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Finding the Third Proportional to 298.13 and 673.88

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Solution

The third proportional to 298.13 and 673.88 is: 1,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 673.88 = 673.88 : x
  2. Step 2: Convert to fraction form
    298.13/673.88 = 673.88/x
  3. Step 3: Cross multiply
    298.13x = 673.88 × 673.88
  4. Step 4: Simplify right side
    298.13x = 454,107.52
  5. Step 5: Solve for x
    x = 454,107.52/298.13
  6. Step 6: Final answer
    x = 1,523.21

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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.