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Finding the Third Proportional to 305,874 and 667,044

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Solution

The third proportional to 305,874 and 667,044 is: 1,454,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,874 : 667,044 = 667,044 : x
  2. Step 2: Convert to fraction form
    305,874/667,044 = 667,044/x
  3. Step 3: Cross multiply
    305,874x = 667,044 × 667,044
  4. Step 4: Simplify right side
    305,874x = 444,947,697,936
  5. Step 5: Solve for x
    x = 444,947,697,936/305,874
  6. Step 6: Final answer
    x = 1,454,676.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.