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Finding the Third Proportional to 337,828 and 734,067

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Solution

The third proportional to 337,828 and 734,067 is: 1,595,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,828 : 734,067 = 734,067 : x
  2. Step 2: Convert to fraction form
    337,828/734,067 = 734,067/x
  3. Step 3: Cross multiply
    337,828x = 734,067 × 734,067
  4. Step 4: Simplify right side
    337,828x = 538,854,360,489
  5. Step 5: Solve for x
    x = 538,854,360,489/337,828
  6. Step 6: Final answer
    x = 1,595,055.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.