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Finding the Third Proportional to 278,898 and 574,302

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Solution

The third proportional to 278,898 and 574,302 is: 1,182,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,898 : 574,302 = 574,302 : x
  2. Step 2: Convert to fraction form
    278,898/574,302 = 574,302/x
  3. Step 3: Cross multiply
    278,898x = 574,302 × 574,302
  4. Step 4: Simplify right side
    278,898x = 329,822,787,204
  5. Step 5: Solve for x
    x = 329,822,787,204/278,898
  6. Step 6: Final answer
    x = 1,182,592.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.