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Finding the Third Proportional to 320.88 and 673.75

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Solution

The third proportional to 320.88 and 673.75 is: 1,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.88 : 673.75 = 673.75 : x
  2. Step 2: Convert to fraction form
    320.88/673.75 = 673.75/x
  3. Step 3: Cross multiply
    320.88x = 673.75 × 673.75
  4. Step 4: Simplify right side
    320.88x = 453,939.06
  5. Step 5: Solve for x
    x = 453,939.06/320.88
  6. Step 6: Final answer
    x = 1,414.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.