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Finding the Third Proportional to 527,898 and 717,216

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Solution

The third proportional to 527,898 and 717,216 is: 974,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,898 : 717,216 = 717,216 : x
  2. Step 2: Convert to fraction form
    527,898/717,216 = 717,216/x
  3. Step 3: Cross multiply
    527,898x = 717,216 × 717,216
  4. Step 4: Simplify right side
    527,898x = 514,398,790,656
  5. Step 5: Solve for x
    x = 514,398,790,656/527,898
  6. Step 6: Final answer
    x = 974,428.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.