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Finding the Third Proportional to 397.25 and 855.01

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Solution

The third proportional to 397.25 and 855.01 is: 1,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.25 : 855.01 = 855.01 : x
  2. Step 2: Convert to fraction form
    397.25/855.01 = 855.01/x
  3. Step 3: Cross multiply
    397.25x = 855.01 × 855.01
  4. Step 4: Simplify right side
    397.25x = 731,040.03
  5. Step 5: Solve for x
    x = 731,040.03/397.25
  6. Step 6: Final answer
    x = 1,840.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.