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Finding the Third Proportional to 379.13 and 764.81

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Solution

The third proportional to 379.13 and 764.81 is: 1,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.13 : 764.81 = 764.81 : x
  2. Step 2: Convert to fraction form
    379.13/764.81 = 764.81/x
  3. Step 3: Cross multiply
    379.13x = 764.81 × 764.81
  4. Step 4: Simplify right side
    379.13x = 584,938.16
  5. Step 5: Solve for x
    x = 584,938.16/379.13
  6. Step 6: Final answer
    x = 1,542.86

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.