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Finding the Third Proportional to 327,162 and 479,946

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Solution

The third proportional to 327,162 and 479,946 is: 704,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,162 : 479,946 = 479,946 : x
  2. Step 2: Convert to fraction form
    327,162/479,946 = 479,946/x
  3. Step 3: Cross multiply
    327,162x = 479,946 × 479,946
  4. Step 4: Simplify right side
    327,162x = 230,348,162,916
  5. Step 5: Solve for x
    x = 230,348,162,916/327,162
  6. Step 6: Final answer
    x = 704,079.82

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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.