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Finding the Third Proportional to 204,538 and 441,742

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Solution

The third proportional to 204,538 and 441,742 is: 954,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538 : 441,742 = 441,742 : x
  2. Step 2: Convert to fraction form
    204,538/441,742 = 441,742/x
  3. Step 3: Cross multiply
    204,538x = 441,742 × 441,742
  4. Step 4: Simplify right side
    204,538x = 195,135,994,564
  5. Step 5: Solve for x
    x = 195,135,994,564/204,538
  6. Step 6: Final answer
    x = 954,032.96

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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.