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Finding the Third Proportional to 396,106.88 and 855,339.75

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Solution

The third proportional to 396,106.88 and 855,339.75 is: 1,846,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,106.88 : 855,339.75 = 855,339.75 : x
  2. Step 2: Convert to fraction form
    396,106.88/855,339.75 = 855,339.75/x
  3. Step 3: Cross multiply
    396,106.88x = 855,339.75 × 855,339.75
  4. Step 4: Simplify right side
    396,106.88x = 731,606,087,930.06
  5. Step 5: Solve for x
    x = 731,606,087,930.06/396,106.88
  6. Step 6: Final answer
    x = 1,846,991.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.