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Finding the Third Proportional to 792.14 and 1,194.61

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Solution

The third proportional to 792.14 and 1,194.61 is: 1,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.14 : 1,194.61 = 1,194.61 : x
  2. Step 2: Convert to fraction form
    792.14/1,194.61 = 1,194.61/x
  3. Step 3: Cross multiply
    792.14x = 1,194.61 × 1,194.61
  4. Step 4: Simplify right side
    792.14x = 1,427,091.56
  5. Step 5: Solve for x
    x = 1,427,091.56/792.14
  6. Step 6: Final answer
    x = 1,801.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.