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Finding the Third Proportional to 424,102 and 649,744

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Solution

The third proportional to 424,102 and 649,744 is: 995,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,102 : 649,744 = 649,744 : x
  2. Step 2: Convert to fraction form
    424,102/649,744 = 649,744/x
  3. Step 3: Cross multiply
    424,102x = 649,744 × 649,744
  4. Step 4: Simplify right side
    424,102x = 422,167,265,536
  5. Step 5: Solve for x
    x = 422,167,265,536/424,102
  6. Step 6: Final answer
    x = 995,438.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.