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Finding the Third Proportional to 293.91 and 640.97

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Solution

The third proportional to 293.91 and 640.97 is: 1,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.91 : 640.97 = 640.97 : x
  2. Step 2: Convert to fraction form
    293.91/640.97 = 640.97/x
  3. Step 3: Cross multiply
    293.91x = 640.97 × 640.97
  4. Step 4: Simplify right side
    293.91x = 410,840.94
  5. Step 5: Solve for x
    x = 410,840.94/293.91
  6. Step 6: Final answer
    x = 1,397.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.