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Finding the Third Proportional to 327,136 and 479,932

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Solution

The third proportional to 327,136 and 479,932 is: 704,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,136 : 479,932 = 479,932 : x
  2. Step 2: Convert to fraction form
    327,136/479,932 = 479,932/x
  3. Step 3: Cross multiply
    327,136x = 479,932 × 479,932
  4. Step 4: Simplify right side
    327,136x = 230,334,724,624
  5. Step 5: Solve for x
    x = 230,334,724,624/327,136
  6. Step 6: Final answer
    x = 704,094.70

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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.