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Finding the Third Proportional to 446.88 and 676.75

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Solution

The third proportional to 446.88 and 676.75 is: 1,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.88 : 676.75 = 676.75 : x
  2. Step 2: Convert to fraction form
    446.88/676.75 = 676.75/x
  3. Step 3: Cross multiply
    446.88x = 676.75 × 676.75
  4. Step 4: Simplify right side
    446.88x = 457,990.56
  5. Step 5: Solve for x
    x = 457,990.56/446.88
  6. Step 6: Final answer
    x = 1,024.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.