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Finding the Third Proportional to 674.44 and 1,620.28

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Solution

The third proportional to 674.44 and 1,620.28 is: 3,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.44 : 1,620.28 = 1,620.28 : x
  2. Step 2: Convert to fraction form
    674.44/1,620.28 = 1,620.28/x
  3. Step 3: Cross multiply
    674.44x = 1,620.28 × 1,620.28
  4. Step 4: Simplify right side
    674.44x = 2,625,311.33
  5. Step 5: Solve for x
    x = 2,625,311.33/674.44
  6. Step 6: Final answer
    x = 3,892.59

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.