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Finding the Third Proportional to 288,414 and 625,500

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Solution

The third proportional to 288,414 and 625,500 is: 1,356,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,414 : 625,500 = 625,500 : x
  2. Step 2: Convert to fraction form
    288,414/625,500 = 625,500/x
  3. Step 3: Cross multiply
    288,414x = 625,500 × 625,500
  4. Step 4: Simplify right side
    288,414x = 391,250,250,000
  5. Step 5: Solve for x
    x = 391,250,250,000/288,414
  6. Step 6: Final answer
    x = 1,356,557.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.