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Finding the Third Proportional to 362.94 and 806.88

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Solution

The third proportional to 362.94 and 806.88 is: 1,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 806.88 = 806.88 : x
  2. Step 2: Convert to fraction form
    362.94/806.88 = 806.88/x
  3. Step 3: Cross multiply
    362.94x = 806.88 × 806.88
  4. Step 4: Simplify right side
    362.94x = 651,047.27
  5. Step 5: Solve for x
    x = 651,047.27/362.94
  6. Step 6: Final answer
    x = 1,793.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.