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Finding the Third Proportional to 297.38 and 672.56

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Solution

The third proportional to 297.38 and 672.56 is: 1,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.38 : 672.56 = 672.56 : x
  2. Step 2: Convert to fraction form
    297.38/672.56 = 672.56/x
  3. Step 3: Cross multiply
    297.38x = 672.56 × 672.56
  4. Step 4: Simplify right side
    297.38x = 452,340.32
  5. Step 5: Solve for x
    x = 452,340.32/297.38
  6. Step 6: Final answer
    x = 1,521.11

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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.