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Finding the Third Proportional to 381,540.75 and 794,478.75

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Solution

The third proportional to 381,540.75 and 794,478.75 is: 1,654,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,540.75 : 794,478.75 = 794,478.75 : x
  2. Step 2: Convert to fraction form
    381,540.75/794,478.75 = 794,478.75/x
  3. Step 3: Cross multiply
    381,540.75x = 794,478.75 × 794,478.75
  4. Step 4: Simplify right side
    381,540.75x = 631,196,484,201.56
  5. Step 5: Solve for x
    x = 631,196,484,201.56/381,540.75
  6. Step 6: Final answer
    x = 1,654,335.70

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