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Finding the Third Proportional to 664.13 and 796.13

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Solution

The third proportional to 664.13 and 796.13 is: 954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.13 : 796.13 = 796.13 : x
  2. Step 2: Convert to fraction form
    664.13/796.13 = 796.13/x
  3. Step 3: Cross multiply
    664.13x = 796.13 × 796.13
  4. Step 4: Simplify right side
    664.13x = 633,815.02
  5. Step 5: Solve for x
    x = 633,815.02/664.13
  6. Step 6: Final answer
    x = 954.36

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.