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Finding the Third Proportional to 600.94 and 796.22

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Solution

The third proportional to 600.94 and 796.22 is: 1,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.94 : 796.22 = 796.22 : x
  2. Step 2: Convert to fraction form
    600.94/796.22 = 796.22/x
  3. Step 3: Cross multiply
    600.94x = 796.22 × 796.22
  4. Step 4: Simplify right side
    600.94x = 633,964.30
  5. Step 5: Solve for x
    x = 633,964.30/600.94
  6. Step 6: Final answer
    x = 1,054.96

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.