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Finding the Third Proportional to 437,494 and 625,615

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Solution

The third proportional to 437,494 and 625,615 is: 894,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,494 : 625,615 = 625,615 : x
  2. Step 2: Convert to fraction form
    437,494/625,615 = 625,615/x
  3. Step 3: Cross multiply
    437,494x = 625,615 × 625,615
  4. Step 4: Simplify right side
    437,494x = 391,394,128,225
  5. Step 5: Solve for x
    x = 391,394,128,225/437,494
  6. Step 6: Final answer
    x = 894,627.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.