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Finding the Third Proportional to 203,940 and 441,479

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Solution

The third proportional to 203,940 and 441,479 is: 955,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,940 : 441,479 = 441,479 : x
  2. Step 2: Convert to fraction form
    203,940/441,479 = 441,479/x
  3. Step 3: Cross multiply
    203,940x = 441,479 × 441,479
  4. Step 4: Simplify right side
    203,940x = 194,903,707,441
  5. Step 5: Solve for x
    x = 194,903,707,441/203,940
  6. Step 6: Final answer
    x = 955,691.42

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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.