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Finding the Third Proportional to 451,252 and 676,977

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Solution

The third proportional to 451,252 and 676,977 is: 1,015,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,252 : 676,977 = 676,977 : x
  2. Step 2: Convert to fraction form
    451,252/676,977 = 676,977/x
  3. Step 3: Cross multiply
    451,252x = 676,977 × 676,977
  4. Step 4: Simplify right side
    451,252x = 458,297,858,529
  5. Step 5: Solve for x
    x = 458,297,858,529/451,252
  6. Step 6: Final answer
    x = 1,015,614.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.