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Finding the Third Proportional to 508,849 and 691,059

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Solution

The third proportional to 508,849 and 691,059 is: 938,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,849 : 691,059 = 691,059 : x
  2. Step 2: Convert to fraction form
    508,849/691,059 = 691,059/x
  3. Step 3: Cross multiply
    508,849x = 691,059 × 691,059
  4. Step 4: Simplify right side
    508,849x = 477,562,541,481
  5. Step 5: Solve for x
    x = 477,562,541,481/508,849
  6. Step 6: Final answer
    x = 938,515.24

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.