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Finding the Third Proportional to 796.39 and 1,168.49

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Solution

The third proportional to 796.39 and 1,168.49 is: 1,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.39 : 1,168.49 = 1,168.49 : x
  2. Step 2: Convert to fraction form
    796.39/1,168.49 = 1,168.49/x
  3. Step 3: Cross multiply
    796.39x = 1,168.49 × 1,168.49
  4. Step 4: Simplify right side
    796.39x = 1,365,364.86
  5. Step 5: Solve for x
    x = 1,365,364.86/796.39
  6. Step 6: Final answer
    x = 1,714.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.