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Finding the Third Proportional to 402.25 and 879.25

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Solution

The third proportional to 402.25 and 879.25 is: 1,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.25 : 879.25 = 879.25 : x
  2. Step 2: Convert to fraction form
    402.25/879.25 = 879.25/x
  3. Step 3: Cross multiply
    402.25x = 879.25 × 879.25
  4. Step 4: Simplify right side
    402.25x = 773,080.56
  5. Step 5: Solve for x
    x = 773,080.56/402.25
  6. Step 6: Final answer
    x = 1,921.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.