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Finding the Third Proportional to 204,777 and 441,162

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Solution

The third proportional to 204,777 and 441,162 is: 950,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,777 : 441,162 = 441,162 : x
  2. Step 2: Convert to fraction form
    204,777/441,162 = 441,162/x
  3. Step 3: Cross multiply
    204,777x = 441,162 × 441,162
  4. Step 4: Simplify right side
    204,777x = 194,623,910,244
  5. Step 5: Solve for x
    x = 194,623,910,244/204,777
  6. Step 6: Final answer
    x = 950,418.80

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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.