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Finding the Third Proportional to 247,822 and 527,612

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Solution

The third proportional to 247,822 and 527,612 is: 1,123,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,822 : 527,612 = 527,612 : x
  2. Step 2: Convert to fraction form
    247,822/527,612 = 527,612/x
  3. Step 3: Cross multiply
    247,822x = 527,612 × 527,612
  4. Step 4: Simplify right side
    247,822x = 278,374,422,544
  5. Step 5: Solve for x
    x = 278,374,422,544/247,822
  6. Step 6: Final answer
    x = 1,123,283.74

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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.