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Finding the Third Proportional to 673.31 and 1,398.94

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Solution

The third proportional to 673.31 and 1,398.94 is: 2,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.31 : 1,398.94 = 1,398.94 : x
  2. Step 2: Convert to fraction form
    673.31/1,398.94 = 1,398.94/x
  3. Step 3: Cross multiply
    673.31x = 1,398.94 × 1,398.94
  4. Step 4: Simplify right side
    673.31x = 1,957,026.13
  5. Step 5: Solve for x
    x = 1,957,026.13/673.31
  6. Step 6: Final answer
    x = 2,906.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.