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Finding the Third Proportional to 365.34 and 852.61

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Solution

The third proportional to 365.34 and 852.61 is: 1,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 852.61 = 852.61 : x
  2. Step 2: Convert to fraction form
    365.34/852.61 = 852.61/x
  3. Step 3: Cross multiply
    365.34x = 852.61 × 852.61
  4. Step 4: Simplify right side
    365.34x = 726,942.75
  5. Step 5: Solve for x
    x = 726,942.75/365.34
  6. Step 6: Final answer
    x = 1,989.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.