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Finding the Third Proportional to 195,631 and 406,568

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Solution

The third proportional to 195,631 and 406,568 is: 844,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,631 : 406,568 = 406,568 : x
  2. Step 2: Convert to fraction form
    195,631/406,568 = 406,568/x
  3. Step 3: Cross multiply
    195,631x = 406,568 × 406,568
  4. Step 4: Simplify right side
    195,631x = 165,297,538,624
  5. Step 5: Solve for x
    x = 165,297,538,624/195,631
  6. Step 6: Final answer
    x = 844,945.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.