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Finding the Third Proportional to 297.28 and 633.66

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Solution

The third proportional to 297.28 and 633.66 is: 1,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.28 : 633.66 = 633.66 : x
  2. Step 2: Convert to fraction form
    297.28/633.66 = 633.66/x
  3. Step 3: Cross multiply
    297.28x = 633.66 × 633.66
  4. Step 4: Simplify right side
    297.28x = 401,520.24
  5. Step 5: Solve for x
    x = 401,520.24/297.28
  6. Step 6: Final answer
    x = 1,350.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.