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Finding the Third Proportional to 247,722 and 527,412

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Solution

The third proportional to 247,722 and 527,412 is: 1,122,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,722 : 527,412 = 527,412 : x
  2. Step 2: Convert to fraction form
    247,722/527,412 = 527,412/x
  3. Step 3: Cross multiply
    247,722x = 527,412 × 527,412
  4. Step 4: Simplify right side
    247,722x = 278,163,417,744
  5. Step 5: Solve for x
    x = 278,163,417,744/247,722
  6. Step 6: Final answer
    x = 1,122,885.40

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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.