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Finding the Third Proportional to 327,504 and 520,782

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Solution

The third proportional to 327,504 and 520,782 is: 828,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,504 : 520,782 = 520,782 : x
  2. Step 2: Convert to fraction form
    327,504/520,782 = 520,782/x
  3. Step 3: Cross multiply
    327,504x = 520,782 × 520,782
  4. Step 4: Simplify right side
    327,504x = 271,213,891,524
  5. Step 5: Solve for x
    x = 271,213,891,524/327,504
  6. Step 6: Final answer
    x = 828,123.91

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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.