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Finding the Third Proportional to 327,062 and 479,825

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Solution

The third proportional to 327,062 and 479,825 is: 703,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,062 : 479,825 = 479,825 : x
  2. Step 2: Convert to fraction form
    327,062/479,825 = 479,825/x
  3. Step 3: Cross multiply
    327,062x = 479,825 × 479,825
  4. Step 4: Simplify right side
    327,062x = 230,232,030,625
  5. Step 5: Solve for x
    x = 230,232,030,625/327,062
  6. Step 6: Final answer
    x = 703,940.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.