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Finding the Third Proportional to 255,484 and 527,366

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Solution

The third proportional to 255,484 and 527,366 is: 1,088,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,484 : 527,366 = 527,366 : x
  2. Step 2: Convert to fraction form
    255,484/527,366 = 527,366/x
  3. Step 3: Cross multiply
    255,484x = 527,366 × 527,366
  4. Step 4: Simplify right side
    255,484x = 278,114,897,956
  5. Step 5: Solve for x
    x = 278,114,897,956/255,484
  6. Step 6: Final answer
    x = 1,088,580.49

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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.