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Finding the Third Proportional to 247,821 and 527,610

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Solution

The third proportional to 247,821 and 527,610 is: 1,123,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,821 : 527,610 = 527,610 : x
  2. Step 2: Convert to fraction form
    247,821/527,610 = 527,610/x
  3. Step 3: Cross multiply
    247,821x = 527,610 × 527,610
  4. Step 4: Simplify right side
    247,821x = 278,372,312,100
  5. Step 5: Solve for x
    x = 278,372,312,100/247,821
  6. Step 6: Final answer
    x = 1,123,279.75

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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.