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Finding the Third Proportional to 507.94 and 676.97

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Solution

The third proportional to 507.94 and 676.97 is: 902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 676.97 = 676.97 : x
  2. Step 2: Convert to fraction form
    507.94/676.97 = 676.97/x
  3. Step 3: Cross multiply
    507.94x = 676.97 × 676.97
  4. Step 4: Simplify right side
    507.94x = 458,286.69
  5. Step 5: Solve for x
    x = 458,286.69/507.94
  6. Step 6: Final answer
    x = 902.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.