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Finding the Third Proportional to 482,338 and 747,615

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Solution

The third proportional to 482,338 and 747,615 is: 1,158,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,338 : 747,615 = 747,615 : x
  2. Step 2: Convert to fraction form
    482,338/747,615 = 747,615/x
  3. Step 3: Cross multiply
    482,338x = 747,615 × 747,615
  4. Step 4: Simplify right side
    482,338x = 558,928,188,225
  5. Step 5: Solve for x
    x = 558,928,188,225/482,338
  6. Step 6: Final answer
    x = 1,158,789.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.