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Finding the Third Proportional to 381,546.75 and 794,490.75

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Solution

The third proportional to 381,546.75 and 794,490.75 is: 1,654,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,546.75 : 794,490.75 = 794,490.75 : x
  2. Step 2: Convert to fraction form
    381,546.75/794,490.75 = 794,490.75/x
  3. Step 3: Cross multiply
    381,546.75x = 794,490.75 × 794,490.75
  4. Step 4: Simplify right side
    381,546.75x = 631,215,551,835.56
  5. Step 5: Solve for x
    x = 631,215,551,835.56/381,546.75
  6. Step 6: Final answer
    x = 1,654,359.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.