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Finding the Third Proportional to 203,969 and 440,689

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Solution

The third proportional to 203,969 and 440,689 is: 952,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,969 : 440,689 = 440,689 : x
  2. Step 2: Convert to fraction form
    203,969/440,689 = 440,689/x
  3. Step 3: Cross multiply
    203,969x = 440,689 × 440,689
  4. Step 4: Simplify right side
    203,969x = 194,206,794,721
  5. Step 5: Solve for x
    x = 194,206,794,721/203,969
  6. Step 6: Final answer
    x = 952,138.78

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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.