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Finding the Third Proportional to 424,098 and 649,737

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Solution

The third proportional to 424,098 and 649,737 is: 995,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098 : 649,737 = 649,737 : x
  2. Step 2: Convert to fraction form
    424,098/649,737 = 649,737/x
  3. Step 3: Cross multiply
    424,098x = 649,737 × 649,737
  4. Step 4: Simplify right side
    424,098x = 422,158,169,169
  5. Step 5: Solve for x
    x = 422,158,169,169/424,098
  6. Step 6: Final answer
    x = 995,425.98

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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.