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Finding the Third Proportional to 338.91 and 734.91

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Solution

The third proportional to 338.91 and 734.91 is: 1,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.91 : 734.91 = 734.91 : x
  2. Step 2: Convert to fraction form
    338.91/734.91 = 734.91/x
  3. Step 3: Cross multiply
    338.91x = 734.91 × 734.91
  4. Step 4: Simplify right side
    338.91x = 540,087.20
  5. Step 5: Solve for x
    x = 540,087.20/338.91
  6. Step 6: Final answer
    x = 1,593.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.