1. **State the problem:** Multiply 627.25 by 350. 2. **Write the multiplication:** $$627.25 \times 350$$ 3. **Multiply ignoring the decimal first:** Multiply 62725 by 3500 (since 627.25 = 62725 \div 100 and 350 = 350): $$62725 \times 350 = 62725 \times (300 + 50) = 62725 \times 300 + 62725 \times 50$$ Calculate each: $$62725 \times 300 = 18,817,500$$ $$62725 \times 50 = 3,136,250$$ Add them: $$18,817,500 + 3,136,250 = 21,953,750$$ 4. **Adjust for decimal places:** Since 627.25 has two decimal places, multiply by 350 (an integer), the result must be divided by 1 (no decimal places in 350), so just keep two decimal places: $$21,953,750 \div 100 = 219,537.50$$ 5. **Final answer:** $$627.25 \times 350 = 219,537.50$$