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Finding the Third Proportional to 299,702 and 637,542

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Solution

The third proportional to 299,702 and 637,542 is: 1,356,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,702 : 637,542 = 637,542 : x
  2. Step 2: Convert to fraction form
    299,702/637,542 = 637,542/x
  3. Step 3: Cross multiply
    299,702x = 637,542 × 637,542
  4. Step 4: Simplify right side
    299,702x = 406,459,801,764
  5. Step 5: Solve for x
    x = 406,459,801,764/299,702
  6. Step 6: Final answer
    x = 1,356,213.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.