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Finding the Third Proportional to 527,228 and 817,060

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Solution

The third proportional to 527,228 and 817,060 is: 1,266,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,228 : 817,060 = 817,060 : x
  2. Step 2: Convert to fraction form
    527,228/817,060 = 817,060/x
  3. Step 3: Cross multiply
    527,228x = 817,060 × 817,060
  4. Step 4: Simplify right side
    527,228x = 667,587,043,600
  5. Step 5: Solve for x
    x = 667,587,043,600/527,228
  6. Step 6: Final answer
    x = 1,266,220.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.