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Finding the Third Proportional to 547,508 and 732,372

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Solution

The third proportional to 547,508 and 732,372 is: 979,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,508 : 732,372 = 732,372 : x
  2. Step 2: Convert to fraction form
    547,508/732,372 = 732,372/x
  3. Step 3: Cross multiply
    547,508x = 732,372 × 732,372
  4. Step 4: Simplify right side
    547,508x = 536,368,746,384
  5. Step 5: Solve for x
    x = 536,368,746,384/547,508
  6. Step 6: Final answer
    x = 979,654.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.