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Finding the Third Proportional to 247,707 and 527,382

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Solution

The third proportional to 247,707 and 527,382 is: 1,122,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,707 : 527,382 = 527,382 : x
  2. Step 2: Convert to fraction form
    247,707/527,382 = 527,382/x
  3. Step 3: Cross multiply
    247,707x = 527,382 × 527,382
  4. Step 4: Simplify right side
    247,707x = 278,131,773,924
  5. Step 5: Solve for x
    x = 278,131,773,924/247,707
  6. Step 6: Final answer
    x = 1,122,825.65

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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.