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Finding the Third Proportional to 791.02 and 1,179.98

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Solution

The third proportional to 791.02 and 1,179.98 is: 1,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.02 : 1,179.98 = 1,179.98 : x
  2. Step 2: Convert to fraction form
    791.02/1,179.98 = 1,179.98/x
  3. Step 3: Cross multiply
    791.02x = 1,179.98 × 1,179.98
  4. Step 4: Simplify right side
    791.02x = 1,392,363.13
  5. Step 5: Solve for x
    x = 1,392,363.13/791.02
  6. Step 6: Final answer
    x = 1,760.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.