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Finding the Third Proportional to 527,204.50 and 817,023.75

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Solution

The third proportional to 527,204.50 and 817,023.75 is: 1,266,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,204.50 : 817,023.75 = 817,023.75 : x
  2. Step 2: Convert to fraction form
    527,204.50/817,023.75 = 817,023.75/x
  3. Step 3: Cross multiply
    527,204.50x = 817,023.75 × 817,023.75
  4. Step 4: Simplify right side
    527,204.50x = 667,527,808,064.06
  5. Step 5: Solve for x
    x = 667,527,808,064.06/527,204.50
  6. Step 6: Final answer
    x = 1,266,164.85

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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.