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Finding the Third Proportional to 247,716 and 527,400

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Solution

The third proportional to 247,716 and 527,400 is: 1,122,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,716 : 527,400 = 527,400 : x
  2. Step 2: Convert to fraction form
    247,716/527,400 = 527,400/x
  3. Step 3: Cross multiply
    247,716x = 527,400 × 527,400
  4. Step 4: Simplify right side
    247,716x = 278,150,760,000
  5. Step 5: Solve for x
    x = 278,150,760,000/247,716
  6. Step 6: Final answer
    x = 1,122,861.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.