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Finding the Third Proportional to 488.25 and 759.38

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Solution

The third proportional to 488.25 and 759.38 is: 1,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 759.38 = 759.38 : x
  2. Step 2: Convert to fraction form
    488.25/759.38 = 759.38/x
  3. Step 3: Cross multiply
    488.25x = 759.38 × 759.38
  4. Step 4: Simplify right side
    488.25x = 576,650.39
  5. Step 5: Solve for x
    x = 576,650.39/488.25
  6. Step 6: Final answer
    x = 1,181.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.