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Finding the Third Proportional to 203,931 and 440,613

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Solution

The third proportional to 203,931 and 440,613 is: 951,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,931 : 440,613 = 440,613 : x
  2. Step 2: Convert to fraction form
    203,931/440,613 = 440,613/x
  3. Step 3: Cross multiply
    203,931x = 440,613 × 440,613
  4. Step 4: Simplify right side
    203,931x = 194,139,815,769
  5. Step 5: Solve for x
    x = 194,139,815,769/203,931
  6. Step 6: Final answer
    x = 951,987.76

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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.