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Finding the Third Proportional to 325.27 and 488.53

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Solution

The third proportional to 325.27 and 488.53 is: 733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.27 : 488.53 = 488.53 : x
  2. Step 2: Convert to fraction form
    325.27/488.53 = 488.53/x
  3. Step 3: Cross multiply
    325.27x = 488.53 × 488.53
  4. Step 4: Simplify right side
    325.27x = 238,662.78
  5. Step 5: Solve for x
    x = 238,662.78/325.27
  6. Step 6: Final answer
    x = 733.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.