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Finding the Third Proportional to 327,066 and 479,831

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Solution

The third proportional to 327,066 and 479,831 is: 703,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,066 : 479,831 = 479,831 : x
  2. Step 2: Convert to fraction form
    327,066/479,831 = 479,831/x
  3. Step 3: Cross multiply
    327,066x = 479,831 × 479,831
  4. Step 4: Simplify right side
    327,066x = 230,237,788,561
  5. Step 5: Solve for x
    x = 230,237,788,561/327,066
  6. Step 6: Final answer
    x = 703,949.02

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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.