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Finding the Third Proportional to 268,040,421 and 580,589,268.75

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Solution

The third proportional to 268,040,421 and 580,589,268.75 is: 1,257,586,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,040,421 : 580,589,268.75 = 580,589,268.75 : x
  2. Step 2: Convert to fraction form
    268,040,421/580,589,268.75 = 580,589,268.75/x
  3. Step 3: Cross multiply
    268,040,421x = 580,589,268.75 × 580,589,268.75
  4. Step 4: Simplify right side
    268,040,421x = 337,083,898,987,659,712
  5. Step 5: Solve for x
    x = 337,083,898,987,659,712/268,040,421
  6. Step 6: Final answer
    x = 1,257,586,067.54

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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.