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Finding the Third Proportional to 673.44 and 1,449.44

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Solution

The third proportional to 673.44 and 1,449.44 is: 3,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.44 : 1,449.44 = 1,449.44 : x
  2. Step 2: Convert to fraction form
    673.44/1,449.44 = 1,449.44/x
  3. Step 3: Cross multiply
    673.44x = 1,449.44 × 1,449.44
  4. Step 4: Simplify right side
    673.44x = 2,100,869.07
  5. Step 5: Solve for x
    x = 2,100,869.07/673.44
  6. Step 6: Final answer
    x = 3,119.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.