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Finding the Third Proportional to 376.13 and 796.31

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Solution

The third proportional to 376.13 and 796.31 is: 1,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.13 : 796.31 = 796.31 : x
  2. Step 2: Convert to fraction form
    376.13/796.31 = 796.31/x
  3. Step 3: Cross multiply
    376.13x = 796.31 × 796.31
  4. Step 4: Simplify right side
    376.13x = 634,113.60
  5. Step 5: Solve for x
    x = 634,113.60/376.13
  6. Step 6: Final answer
    x = 1,685.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.