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Finding the Third Proportional to 576.19 and 676.69

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Solution

The third proportional to 576.19 and 676.69 is: 794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.19 : 676.69 = 676.69 : x
  2. Step 2: Convert to fraction form
    576.19/676.69 = 676.69/x
  3. Step 3: Cross multiply
    576.19x = 676.69 × 676.69
  4. Step 4: Simplify right side
    576.19x = 457,905.97
  5. Step 5: Solve for x
    x = 457,905.97/576.19
  6. Step 6: Final answer
    x = 794.72

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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.