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Finding the Third Proportional to 327,068 and 479,834

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Solution

The third proportional to 327,068 and 479,834 is: 703,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,068 : 479,834 = 479,834 : x
  2. Step 2: Convert to fraction form
    327,068/479,834 = 479,834/x
  3. Step 3: Cross multiply
    327,068x = 479,834 × 479,834
  4. Step 4: Simplify right side
    327,068x = 230,240,667,556
  5. Step 5: Solve for x
    x = 230,240,667,556/327,068
  6. Step 6: Final answer
    x = 703,953.51

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