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Finding the Third Proportional to 422.25 and 617.25

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Solution

The third proportional to 422.25 and 617.25 is: 902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 617.25 = 617.25 : x
  2. Step 2: Convert to fraction form
    422.25/617.25 = 617.25/x
  3. Step 3: Cross multiply
    422.25x = 617.25 × 617.25
  4. Step 4: Simplify right side
    422.25x = 380,997.56
  5. Step 5: Solve for x
    x = 380,997.56/422.25
  6. Step 6: Final answer
    x = 902.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.