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Finding the Third Proportional to 396,790.31 and 567,187.31

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Solution

The third proportional to 396,790.31 and 567,187.31 is: 810,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,790.31 : 567,187.31 = 567,187.31 : x
  2. Step 2: Convert to fraction form
    396,790.31/567,187.31 = 567,187.31/x
  3. Step 3: Cross multiply
    396,790.31x = 567,187.31 × 567,187.31
  4. Step 4: Simplify right side
    396,790.31x = 321,701,447,460.97
  5. Step 5: Solve for x
    x = 321,701,447,460.97/396,790.31
  6. Step 6: Final answer
    x = 810,759.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.