– Stephen Curry keeps making threes, and the Golden State Warriors keep getting closer to their first NBA Finals appearance in 40 years.

They're really one and the same, the NBA Most Valuable Player continually pushing the Warriors in their attempt to reward a starved franchise and fan base.

The latest chapters were released Saturday: Curry had 40 points and set an NBA single-season playoff record for three-pointers as the Warriors crushed the Houston Rockets 115-80 in Game 3 of the Western Conference finals.

The Warriors lead the best-of-seven series 3-0. Game 4 is Monday night.

"We're … exerting all the effort we need to make this story happen," Curry said.

Curry made seven of nine three-point attempts, giving him 64 in only 13 playoff games, and the Rockets must quickly try to live up to their "Clutch City" nickname. No NBA team has come back from a 3-0 deficit to win a series.

Curry passed former record-holder Reggie Miller in the second quarter and could ultimately demolish the 58 playoff threes Miller set in 22 playoff games for Indiana in 2000.

"His shooting, it's hard to describe," Golden State coach Steve Kerr said. "I don't think we've seen anybody this quick, with the ability to create space ... with this kind of fearlessness and confidence. He's really something."

Houston guard James Harden was the opposite of Curry, missing 13 of 16 shots and scoring 17 points in front of a deflated Toyota Center crowd.

First halves in conference championships don't get more dominant than the Warriors showed Saturday. They led 62-37 at halftime.

"They got it going, and they just piled it on," Houston coach Kevin McHale said.