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Finding the Third Proportional to 201,933 and 440,542

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Solution

The third proportional to 201,933 and 440,542 is: 961,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,933 : 440,542 = 440,542 : x
  2. Step 2: Convert to fraction form
    201,933/440,542 = 440,542/x
  3. Step 3: Cross multiply
    201,933x = 440,542 × 440,542
  4. Step 4: Simplify right side
    201,933x = 194,077,253,764
  5. Step 5: Solve for x
    x = 194,077,253,764/201,933
  6. Step 6: Final answer
    x = 961,097.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.