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Finding the Third Proportional to 205,432 and 441,524

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Solution

The third proportional to 205,432 and 441,524 is: 948,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,432 : 441,524 = 441,524 : x
  2. Step 2: Convert to fraction form
    205,432/441,524 = 441,524/x
  3. Step 3: Cross multiply
    205,432x = 441,524 × 441,524
  4. Step 4: Simplify right side
    205,432x = 194,943,442,576
  5. Step 5: Solve for x
    x = 194,943,442,576/205,432
  6. Step 6: Final answer
    x = 948,943.90

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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.