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Finding the Third Proportional to 278.44 and 673.22

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Solution

The third proportional to 278.44 and 673.22 is: 1,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.44 : 673.22 = 673.22 : x
  2. Step 2: Convert to fraction form
    278.44/673.22 = 673.22/x
  3. Step 3: Cross multiply
    278.44x = 673.22 × 673.22
  4. Step 4: Simplify right side
    278.44x = 453,223.49
  5. Step 5: Solve for x
    x = 453,223.49/278.44
  6. Step 6: Final answer
    x = 1,627.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.