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Finding the Third Proportional to 363.25 and 528.75

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Solution

The third proportional to 363.25 and 528.75 is: 769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.25 : 528.75 = 528.75 : x
  2. Step 2: Convert to fraction form
    363.25/528.75 = 528.75/x
  3. Step 3: Cross multiply
    363.25x = 528.75 × 528.75
  4. Step 4: Simplify right side
    363.25x = 279,576.56
  5. Step 5: Solve for x
    x = 279,576.56/363.25
  6. Step 6: Final answer
    x = 769.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.