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Finding the Third Proportional to 327,491 and 520,762

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Solution

The third proportional to 327,491 and 520,762 is: 828,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,491 : 520,762 = 520,762 : x
  2. Step 2: Convert to fraction form
    327,491/520,762 = 520,762/x
  3. Step 3: Cross multiply
    327,491x = 520,762 × 520,762
  4. Step 4: Simplify right side
    327,491x = 271,193,060,644
  5. Step 5: Solve for x
    x = 271,193,060,644/327,491
  6. Step 6: Final answer
    x = 828,093.17

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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.