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Finding the Third Proportional to 796.39 and 1,230.82

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Solution

The third proportional to 796.39 and 1,230.82 is: 1,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.39 : 1,230.82 = 1,230.82 : x
  2. Step 2: Convert to fraction form
    796.39/1,230.82 = 1,230.82/x
  3. Step 3: Cross multiply
    796.39x = 1,230.82 × 1,230.82
  4. Step 4: Simplify right side
    796.39x = 1,514,918.64
  5. Step 5: Solve for x
    x = 1,514,918.64/796.39
  6. Step 6: Final answer
    x = 1,902.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.