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Finding the Third Proportional to 424,108 and 649,748

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Solution

The third proportional to 424,108 and 649,748 is: 995,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,108 : 649,748 = 649,748 : x
  2. Step 2: Convert to fraction form
    424,108/649,748 = 649,748/x
  3. Step 3: Cross multiply
    424,108x = 649,748 × 649,748
  4. Step 4: Simplify right side
    424,108x = 422,172,463,504
  5. Step 5: Solve for x
    x = 422,172,463,504/424,108
  6. Step 6: Final answer
    x = 995,436.22

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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.