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Finding the Third Proportional to 274,276.97 and 363,934.69

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Solution

The third proportional to 274,276.97 and 363,934.69 is: 482,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,276.97 : 363,934.69 = 363,934.69 : x
  2. Step 2: Convert to fraction form
    274,276.97/363,934.69 = 363,934.69/x
  3. Step 3: Cross multiply
    274,276.97x = 363,934.69 × 363,934.69
  4. Step 4: Simplify right side
    274,276.97x = 132,448,456,765.72
  5. Step 5: Solve for x
    x = 132,448,456,765.72/274,276.97
  6. Step 6: Final answer
    x = 482,900.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.