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Finding the Third Proportional to 255,488 and 527,374

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Solution

The third proportional to 255,488 and 527,374 is: 1,088,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,488 : 527,374 = 527,374 : x
  2. Step 2: Convert to fraction form
    255,488/527,374 = 527,374/x
  3. Step 3: Cross multiply
    255,488x = 527,374 × 527,374
  4. Step 4: Simplify right side
    255,488x = 278,123,335,876
  5. Step 5: Solve for x
    x = 278,123,335,876/255,488
  6. Step 6: Final answer
    x = 1,088,596.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.