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Finding the Third Proportional to 604.69 and 908.72

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Solution

The third proportional to 604.69 and 908.72 is: 1,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.69 : 908.72 = 908.72 : x
  2. Step 2: Convert to fraction form
    604.69/908.72 = 908.72/x
  3. Step 3: Cross multiply
    604.69x = 908.72 × 908.72
  4. Step 4: Simplify right side
    604.69x = 825,769.77
  5. Step 5: Solve for x
    x = 825,769.77/604.69
  6. Step 6: Final answer
    x = 1,365.61

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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.