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Finding the Third Proportional to 247,704 and 527,376

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Solution

The third proportional to 247,704 and 527,376 is: 1,122,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,704 : 527,376 = 527,376 : x
  2. Step 2: Convert to fraction form
    247,704/527,376 = 527,376/x
  3. Step 3: Cross multiply
    247,704x = 527,376 × 527,376
  4. Step 4: Simplify right side
    247,704x = 278,125,445,376
  5. Step 5: Solve for x
    x = 278,125,445,376/247,704
  6. Step 6: Final answer
    x = 1,122,813.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.