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Finding the Third Proportional to 297.18 and 578.88

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Solution

The third proportional to 297.18 and 578.88 is: 1,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 578.88 = 578.88 : x
  2. Step 2: Convert to fraction form
    297.18/578.88 = 578.88/x
  3. Step 3: Cross multiply
    297.18x = 578.88 × 578.88
  4. Step 4: Simplify right side
    297.18x = 335,105.31
  5. Step 5: Solve for x
    x = 335,105.31/297.18
  6. Step 6: Final answer
    x = 1,127.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.