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Finding the Third Proportional to 316.41 and 481.78

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Solution

The third proportional to 316.41 and 481.78 is: 733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.41 : 481.78 = 481.78 : x
  2. Step 2: Convert to fraction form
    316.41/481.78 = 481.78/x
  3. Step 3: Cross multiply
    316.41x = 481.78 × 481.78
  4. Step 4: Simplify right side
    316.41x = 232,113.17
  5. Step 5: Solve for x
    x = 232,113.17/316.41
  6. Step 6: Final answer
    x = 733.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.