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Finding the Third Proportional to 674.30 and 1,473.61

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Solution

The third proportional to 674.30 and 1,473.61 is: 3,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.30 : 1,473.61 = 1,473.61 : x
  2. Step 2: Convert to fraction form
    674.30/1,473.61 = 1,473.61/x
  3. Step 3: Cross multiply
    674.30x = 1,473.61 × 1,473.61
  4. Step 4: Simplify right side
    674.30x = 2,171,524.59
  5. Step 5: Solve for x
    x = 2,171,524.59/674.30
  6. Step 6: Final answer
    x = 3,220.43

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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.