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Finding the Third Proportional to 345,049 and 754,067

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Solution

The third proportional to 345,049 and 754,067 is: 1,647,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,049 : 754,067 = 754,067 : x
  2. Step 2: Convert to fraction form
    345,049/754,067 = 754,067/x
  3. Step 3: Cross multiply
    345,049x = 754,067 × 754,067
  4. Step 4: Simplify right side
    345,049x = 568,617,040,489
  5. Step 5: Solve for x
    x = 568,617,040,489/345,049
  6. Step 6: Final answer
    x = 1,647,931.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.