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Finding the Third Proportional to 204,779 and 441,166

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Solution

The third proportional to 204,779 and 441,166 is: 950,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,779 : 441,166 = 441,166 : x
  2. Step 2: Convert to fraction form
    204,779/441,166 = 441,166/x
  3. Step 3: Cross multiply
    204,779x = 441,166 × 441,166
  4. Step 4: Simplify right side
    204,779x = 194,627,439,556
  5. Step 5: Solve for x
    x = 194,627,439,556/204,779
  6. Step 6: Final answer
    x = 950,426.75

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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.