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Finding the Third Proportional to 510,684 and 715,617

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Solution

The third proportional to 510,684 and 715,617 is: 1,002,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,684 : 715,617 = 715,617 : x
  2. Step 2: Convert to fraction form
    510,684/715,617 = 715,617/x
  3. Step 3: Cross multiply
    510,684x = 715,617 × 715,617
  4. Step 4: Simplify right side
    510,684x = 512,107,690,689
  5. Step 5: Solve for x
    x = 512,107,690,689/510,684
  6. Step 6: Final answer
    x = 1,002,787.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.