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Finding the Third Proportional to 204,542 and 441,750

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Solution

The third proportional to 204,542 and 441,750 is: 954,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,542 : 441,750 = 441,750 : x
  2. Step 2: Convert to fraction form
    204,542/441,750 = 441,750/x
  3. Step 3: Cross multiply
    204,542x = 441,750 × 441,750
  4. Step 4: Simplify right side
    204,542x = 195,143,062,500
  5. Step 5: Solve for x
    x = 195,143,062,500/204,542
  6. Step 6: Final answer
    x = 954,048.86

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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.