Finding the Third Proportional to 470,624 and 707,010
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Solution
The third proportional to 470,624 and 707,010 is: 1,062,128.45
Step by Step Solution
- Step 1: Write the proportion equation
470,624 : 707,010 = 707,010 : x - Step 2: Convert to fraction form
470,624/707,010 = 707,010/x - Step 3: Cross multiply
470,624x = 707,010 × 707,010 - Step 4: Simplify right side
470,624x = 499,863,140,100 - Step 5: Solve for x
x = 499,863,140,100/470,624 - Step 6: Final answer
x = 1,062,128.45
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.