Final answer:
Rounding the number 432,785,624 to the nearest hundred thousand gives us 432,800,000, because the digit to the right of the hundred thousands place is 5 or greater, so we round up.
Step-by-step explanation:
To round off 432,785,624 to the nearest hundred thousand, we first need to identify the digit in the hundred thousands place. In this number, it is the digit '7' in 700,000. We then look to the digit to the right of it, which is '8' in 80,000. Since this digit is 5 or greater, we round up the hundred thousands place by 1. Therefore, the number 432,785,624 rounded to the nearest hundred thousand is 432,800,000.