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Finding the Third Proportional to 205,394 and 441,448

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Solution

The third proportional to 205,394 and 441,448 is: 948,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,394 : 441,448 = 441,448 : x
  2. Step 2: Convert to fraction form
    205,394/441,448 = 441,448/x
  3. Step 3: Cross multiply
    205,394x = 441,448 × 441,448
  4. Step 4: Simplify right side
    205,394x = 194,876,336,704
  5. Step 5: Solve for x
    x = 194,876,336,704/205,394
  6. Step 6: Final answer
    x = 948,792.74

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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.