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Finding the Third Proportional to 578.06 and 676.69

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Solution

The third proportional to 578.06 and 676.69 is: 792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 676.69 = 676.69 : x
  2. Step 2: Convert to fraction form
    578.06/676.69 = 676.69/x
  3. Step 3: Cross multiply
    578.06x = 676.69 × 676.69
  4. Step 4: Simplify right side
    578.06x = 457,905.97
  5. Step 5: Solve for x
    x = 457,905.97/578.06
  6. Step 6: Final answer
    x = 792.14

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.