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Finding the Third Proportional to 517,912 and 699,744

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Solution

The third proportional to 517,912 and 699,744 is: 945,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,912 : 699,744 = 699,744 : x
  2. Step 2: Convert to fraction form
    517,912/699,744 = 699,744/x
  3. Step 3: Cross multiply
    517,912x = 699,744 × 699,744
  4. Step 4: Simplify right side
    517,912x = 489,641,665,536
  5. Step 5: Solve for x
    x = 489,641,665,536/517,912
  6. Step 6: Final answer
    x = 945,414.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.