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Finding the Third Proportional to 379,844.44 and 810,531.56

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Solution

The third proportional to 379,844.44 and 810,531.56 is: 1,729,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,844.44 : 810,531.56 = 810,531.56 : x
  2. Step 2: Convert to fraction form
    379,844.44/810,531.56 = 810,531.56/x
  3. Step 3: Cross multiply
    379,844.44x = 810,531.56 × 810,531.56
  4. Step 4: Simplify right side
    379,844.44x = 656,961,413,808.69
  5. Step 5: Solve for x
    x = 656,961,413,808.69/379,844.44
  6. Step 6: Final answer
    x = 1,729,553.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.