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Finding the Third Proportional to 247,718 and 527,404

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Solution

The third proportional to 247,718 and 527,404 is: 1,122,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,718 : 527,404 = 527,404 : x
  2. Step 2: Convert to fraction form
    247,718/527,404 = 527,404/x
  3. Step 3: Cross multiply
    247,718x = 527,404 × 527,404
  4. Step 4: Simplify right side
    247,718x = 278,154,979,216
  5. Step 5: Solve for x
    x = 278,154,979,216/247,718
  6. Step 6: Final answer
    x = 1,122,869.47

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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.