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Finding the Third Proportional to 408 and 673.13

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Solution

The third proportional to 408 and 673.13 is: 1,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 673.13 = 673.13 : x
  2. Step 2: Convert to fraction form
    408/673.13 = 673.13/x
  3. Step 3: Cross multiply
    408x = 673.13 × 673.13
  4. Step 4: Simplify right side
    408x = 453,097.27
  5. Step 5: Solve for x
    x = 453,097.27/408
  6. Step 6: Final answer
    x = 1,110.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.