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Finding the Third Proportional to 205,474 and 441,503

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Solution

The third proportional to 205,474 and 441,503 is: 948,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,474 : 441,503 = 441,503 : x
  2. Step 2: Convert to fraction form
    205,474/441,503 = 441,503/x
  3. Step 3: Cross multiply
    205,474x = 441,503 × 441,503
  4. Step 4: Simplify right side
    205,474x = 194,924,899,009
  5. Step 5: Solve for x
    x = 194,924,899,009/205,474
  6. Step 6: Final answer
    x = 948,659.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.