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Finding the Third Proportional to 465,934 and 637,593

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Solution

The third proportional to 465,934 and 637,593 is: 872,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,934 : 637,593 = 637,593 : x
  2. Step 2: Convert to fraction form
    465,934/637,593 = 637,593/x
  3. Step 3: Cross multiply
    465,934x = 637,593 × 637,593
  4. Step 4: Simplify right side
    465,934x = 406,524,833,649
  5. Step 5: Solve for x
    x = 406,524,833,649/465,934
  6. Step 6: Final answer
    x = 872,494.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.