Maggert fell into a tie for the lead with Billy Andrade after making bogey on No. 16, but responded with an astonishing, 50-foot putt for birdie on No. 17 that pushed him back ahead.
Maggert's decisive putt had a large break from left to right and was over a ridge, and the 50-year-old struck it perfectly, shaking his head in disbelief after it fell in the hole.
Andrade, who started the day tied with Fred Funk for the lead, shot a 71 to finish in second two strokes back.
Maggert finished the tournament with an 11-under 205.
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