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Finding the Third Proportional to 247,808 and 527,584

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Solution

The third proportional to 247,808 and 527,584 is: 1,123,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,808 : 527,584 = 527,584 : x
  2. Step 2: Convert to fraction form
    247,808/527,584 = 527,584/x
  3. Step 3: Cross multiply
    247,808x = 527,584 × 527,584
  4. Step 4: Simplify right side
    247,808x = 278,344,877,056
  5. Step 5: Solve for x
    x = 278,344,877,056/247,808
  6. Step 6: Final answer
    x = 1,123,227.97

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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.