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Finding the Third Proportional to 379.13 and 832.92

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Solution

The third proportional to 379.13 and 832.92 is: 1,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.13 : 832.92 = 832.92 : x
  2. Step 2: Convert to fraction form
    379.13/832.92 = 832.92/x
  3. Step 3: Cross multiply
    379.13x = 832.92 × 832.92
  4. Step 4: Simplify right side
    379.13x = 693,758.85
  5. Step 5: Solve for x
    x = 693,758.85/379.13
  6. Step 6: Final answer
    x = 1,829.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.