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Finding the Third Proportional to 327,494 and 520,766

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Solution

The third proportional to 327,494 and 520,766 is: 828,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,494 : 520,766 = 520,766 : x
  2. Step 2: Convert to fraction form
    327,494/520,766 = 520,766/x
  3. Step 3: Cross multiply
    327,494x = 520,766 × 520,766
  4. Step 4: Simplify right side
    327,494x = 271,197,226,756
  5. Step 5: Solve for x
    x = 271,197,226,756/327,494
  6. Step 6: Final answer
    x = 828,098.31

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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.