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Finding the Third Proportional to 791.96 and 1,223.54

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Solution

The third proportional to 791.96 and 1,223.54 is: 1,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.96 : 1,223.54 = 1,223.54 : x
  2. Step 2: Convert to fraction form
    791.96/1,223.54 = 1,223.54/x
  3. Step 3: Cross multiply
    791.96x = 1,223.54 × 1,223.54
  4. Step 4: Simplify right side
    791.96x = 1,497,057.40
  5. Step 5: Solve for x
    x = 1,497,057.40/791.96
  6. Step 6: Final answer
    x = 1,890.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.