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Finding the Third Proportional to 527,204 and 817,023

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Solution

The third proportional to 527,204 and 817,023 is: 1,266,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,204 : 817,023 = 817,023 : x
  2. Step 2: Convert to fraction form
    527,204/817,023 = 817,023/x
  3. Step 3: Cross multiply
    527,204x = 817,023 × 817,023
  4. Step 4: Simplify right side
    527,204x = 667,526,582,529
  5. Step 5: Solve for x
    x = 667,526,582,529/527,204
  6. Step 6: Final answer
    x = 1,266,163.73

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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.