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Finding the Third Proportional to 293.06 and 439.41

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Solution

The third proportional to 293.06 and 439.41 is: 658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.06 : 439.41 = 439.41 : x
  2. Step 2: Convert to fraction form
    293.06/439.41 = 439.41/x
  3. Step 3: Cross multiply
    293.06x = 439.41 × 439.41
  4. Step 4: Simplify right side
    293.06x = 193,077.85
  5. Step 5: Solve for x
    x = 193,077.85/293.06
  6. Step 6: Final answer
    x = 658.83

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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.