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Finding the Third Proportional to 381,003.75 and 814,536

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Solution

The third proportional to 381,003.75 and 814,536 is: 1,741,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,003.75 : 814,536 = 814,536 : x
  2. Step 2: Convert to fraction form
    381,003.75/814,536 = 814,536/x
  3. Step 3: Cross multiply
    381,003.75x = 814,536 × 814,536
  4. Step 4: Simplify right side
    381,003.75x = 663,468,895,296
  5. Step 5: Solve for x
    x = 663,468,895,296/381,003.75
  6. Step 6: Final answer
    x = 1,741,371.04

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