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Finding the Third Proportional to 527,942 and 717,273

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Solution

The third proportional to 527,942 and 717,273 is: 974,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,942 : 717,273 = 717,273 : x
  2. Step 2: Convert to fraction form
    527,942/717,273 = 717,273/x
  3. Step 3: Cross multiply
    527,942x = 717,273 × 717,273
  4. Step 4: Simplify right side
    527,942x = 514,480,556,529
  5. Step 5: Solve for x
    x = 514,480,556,529/527,942
  6. Step 6: Final answer
    x = 974,502.04

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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.