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Finding the Third Proportional to 408.94 and 601.38

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Solution

The third proportional to 408.94 and 601.38 is: 884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 601.38 = 601.38 : x
  2. Step 2: Convert to fraction form
    408.94/601.38 = 601.38/x
  3. Step 3: Cross multiply
    408.94x = 601.38 × 601.38
  4. Step 4: Simplify right side
    408.94x = 361,651.89
  5. Step 5: Solve for x
    x = 361,651.89/408.94
  6. Step 6: Final answer
    x = 884.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.