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Finding the Third Proportional to 322,704 and 637,452

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Solution

The third proportional to 322,704 and 637,452 is: 1,259,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,704 : 637,452 = 637,452 : x
  2. Step 2: Convert to fraction form
    322,704/637,452 = 637,452/x
  3. Step 3: Cross multiply
    322,704x = 637,452 × 637,452
  4. Step 4: Simplify right side
    322,704x = 406,345,052,304
  5. Step 5: Solve for x
    x = 406,345,052,304/322,704
  6. Step 6: Final answer
    x = 1,259,188.15

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.