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Finding the Third Proportional to 203,934 and 440,619

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Solution

The third proportional to 203,934 and 440,619 is: 951,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,934 : 440,619 = 440,619 : x
  2. Step 2: Convert to fraction form
    203,934/440,619 = 440,619/x
  3. Step 3: Cross multiply
    203,934x = 440,619 × 440,619
  4. Step 4: Simplify right side
    203,934x = 194,145,103,161
  5. Step 5: Solve for x
    x = 194,145,103,161/203,934
  6. Step 6: Final answer
    x = 951,999.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.