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Finding the Third Proportional to 231,375.94 and 507,067.78

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Solution

The third proportional to 231,375.94 and 507,067.78 is: 1,111,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,375.94 : 507,067.78 = 507,067.78 : x
  2. Step 2: Convert to fraction form
    231,375.94/507,067.78 = 507,067.78/x
  3. Step 3: Cross multiply
    231,375.94x = 507,067.78 × 507,067.78
  4. Step 4: Simplify right side
    231,375.94x = 257,117,734,781.80
  5. Step 5: Solve for x
    x = 257,117,734,781.80/231,375.94
  6. Step 6: Final answer
    x = 1,111,255.29

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