Finding the Third Proportional to 456,732 and 649,170
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Solution
The third proportional to 456,732 and 649,170 is: 922,689.21
Step by Step Solution
- Step 1: Write the proportion equation
456,732 : 649,170 = 649,170 : x - Step 2: Convert to fraction form
456,732/649,170 = 649,170/x - Step 3: Cross multiply
456,732x = 649,170 × 649,170 - Step 4: Simplify right side
456,732x = 421,421,688,900 - Step 5: Solve for x
x = 421,421,688,900/456,732 - Step 6: Final answer
x = 922,689.21
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.