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Finding the Third Proportional to 451,251 and 676,974

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Solution

The third proportional to 451,251 and 676,974 is: 1,015,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,251 : 676,974 = 676,974 : x
  2. Step 2: Convert to fraction form
    451,251/676,974 = 676,974/x
  3. Step 3: Cross multiply
    451,251x = 676,974 × 676,974
  4. Step 4: Simplify right side
    451,251x = 458,293,796,676
  5. Step 5: Solve for x
    x = 458,293,796,676/451,251
  6. Step 6: Final answer
    x = 1,015,607.27

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