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Finding the Third Proportional to 274,711.88 and 588,847.13

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Solution

The third proportional to 274,711.88 and 588,847.13 is: 1,262,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,711.88 : 588,847.13 = 588,847.13 : x
  2. Step 2: Convert to fraction form
    274,711.88/588,847.13 = 588,847.13/x
  3. Step 3: Cross multiply
    274,711.88x = 588,847.13 × 588,847.13
  4. Step 4: Simplify right side
    274,711.88x = 346,740,936,620.77
  5. Step 5: Solve for x
    x = 346,740,936,620.77/274,711.88
  6. Step 6: Final answer
    x = 1,262,198.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.