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Finding the Third Proportional to 328 and 496

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Solution

The third proportional to 328 and 496 is: 750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328 : 496 = 496 : x
  2. Step 2: Convert to fraction form
    328/496 = 496/x
  3. Step 3: Cross multiply
    328x = 496 × 496
  4. Step 4: Simplify right side
    328x = 246,016
  5. Step 5: Solve for x
    x = 246,016/328
  6. Step 6: Final answer
    x = 750.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.