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Finding the Third Proportional to 369.25 and 796.39

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Solution

The third proportional to 369.25 and 796.39 is: 1,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.25 : 796.39 = 796.39 : x
  2. Step 2: Convert to fraction form
    369.25/796.39 = 796.39/x
  3. Step 3: Cross multiply
    369.25x = 796.39 × 796.39
  4. Step 4: Simplify right side
    369.25x = 634,244.25
  5. Step 5: Solve for x
    x = 634,244.25/369.25
  6. Step 6: Final answer
    x = 1,717.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.