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Finding the Third Proportional to 468.12 and 676.79

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Solution

The third proportional to 468.12 and 676.79 is: 978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 676.79 = 676.79 : x
  2. Step 2: Convert to fraction form
    468.12/676.79 = 676.79/x
  3. Step 3: Cross multiply
    468.12x = 676.79 × 676.79
  4. Step 4: Simplify right side
    468.12x = 458,048.72
  5. Step 5: Solve for x
    x = 458,048.72/468.12
  6. Step 6: Final answer
    x = 978.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.