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Finding the Third Proportional to 298.13 and 674.44

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Solution

The third proportional to 298.13 and 674.44 is: 1,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 674.44 = 674.44 : x
  2. Step 2: Convert to fraction form
    298.13/674.44 = 674.44/x
  3. Step 3: Cross multiply
    298.13x = 674.44 × 674.44
  4. Step 4: Simplify right side
    298.13x = 454,865.94
  5. Step 5: Solve for x
    x = 454,865.94/298.13
  6. Step 6: Final answer
    x = 1,525.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.