Find the missing term in the series. 3, 20, 63, 144, 275, ____

The differences between the consecutive terms are 17, 43, 81, and 131. The second differences between these numbers are 26, 38, and 50, and the third differences are all 12. Extending the second differences by 12 gives 62, making the next second difference 131 plus 62, which is 193; adding this to 275 results in 468.

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