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Finding the Third Proportional to 796.69 and 1,708.97

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Solution

The third proportional to 796.69 and 1,708.97 is: 3,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.69 : 1,708.97 = 1,708.97 : x
  2. Step 2: Convert to fraction form
    796.69/1,708.97 = 1,708.97/x
  3. Step 3: Cross multiply
    796.69x = 1,708.97 × 1,708.97
  4. Step 4: Simplify right side
    796.69x = 2,920,574.19
  5. Step 5: Solve for x
    x = 2,920,574.19/796.69
  6. Step 6: Final answer
    x = 3,665.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.