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Finding the Third Proportional to 381,251.81 and 825,263.44

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Solution

The third proportional to 381,251.81 and 825,263.44 is: 1,786,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,251.81 : 825,263.44 = 825,263.44 : x
  2. Step 2: Convert to fraction form
    381,251.81/825,263.44 = 825,263.44/x
  3. Step 3: Cross multiply
    381,251.81x = 825,263.44 × 825,263.44
  4. Step 4: Simplify right side
    381,251.81x = 681,059,741,274.32
  5. Step 5: Solve for x
    x = 681,059,741,274.32/381,251.81
  6. Step 6: Final answer
    x = 1,786,377.71

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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.