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Finding the Third Proportional to 367.03 and 764.34

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Solution

The third proportional to 367.03 and 764.34 is: 1,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.03 : 764.34 = 764.34 : x
  2. Step 2: Convert to fraction form
    367.03/764.34 = 764.34/x
  3. Step 3: Cross multiply
    367.03x = 764.34 × 764.34
  4. Step 4: Simplify right side
    367.03x = 584,221.37
  5. Step 5: Solve for x
    x = 584,221.37/367.03
  6. Step 6: Final answer
    x = 1,591.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.