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Finding the Third Proportional to 327,494.25 and 520,767

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Solution

The third proportional to 327,494.25 and 520,767 is: 828,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,494.25 : 520,767 = 520,767 : x
  2. Step 2: Convert to fraction form
    327,494.25/520,767 = 520,767/x
  3. Step 3: Cross multiply
    327,494.25x = 520,767 × 520,767
  4. Step 4: Simplify right side
    327,494.25x = 271,198,268,289
  5. Step 5: Solve for x
    x = 271,198,268,289/327,494.25
  6. Step 6: Final answer
    x = 828,100.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.