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Finding the Third Proportional to 300.75 and 481.31

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Solution

The third proportional to 300.75 and 481.31 is: 770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.75 : 481.31 = 481.31 : x
  2. Step 2: Convert to fraction form
    300.75/481.31 = 481.31/x
  3. Step 3: Cross multiply
    300.75x = 481.31 × 481.31
  4. Step 4: Simplify right side
    300.75x = 231,661.72
  5. Step 5: Solve for x
    x = 231,661.72/300.75
  6. Step 6: Final answer
    x = 770.28

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.