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Finding the Third Proportional to 397.75 and 845.38

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Solution

The third proportional to 397.75 and 845.38 is: 1,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.75 : 845.38 = 845.38 : x
  2. Step 2: Convert to fraction form
    397.75/845.38 = 845.38/x
  3. Step 3: Cross multiply
    397.75x = 845.38 × 845.38
  4. Step 4: Simplify right side
    397.75x = 714,658.89
  5. Step 5: Solve for x
    x = 714,658.89/397.75
  6. Step 6: Final answer
    x = 1,796.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.