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Finding the Third Proportional to 797.77 and 1,736.86

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Solution

The third proportional to 797.77 and 1,736.86 is: 3,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.77 : 1,736.86 = 1,736.86 : x
  2. Step 2: Convert to fraction form
    797.77/1,736.86 = 1,736.86/x
  3. Step 3: Cross multiply
    797.77x = 1,736.86 × 1,736.86
  4. Step 4: Simplify right side
    797.77x = 3,016,680.49
  5. Step 5: Solve for x
    x = 3,016,680.49/797.77
  6. Step 6: Final answer
    x = 3,781.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.