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Finding the Third Proportional to 396,048 and 851,804

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Solution

The third proportional to 396,048 and 851,804 is: 1,832,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,048 : 851,804 = 851,804 : x
  2. Step 2: Convert to fraction form
    396,048/851,804 = 851,804/x
  3. Step 3: Cross multiply
    396,048x = 851,804 × 851,804
  4. Step 4: Simplify right side
    396,048x = 725,570,054,416
  5. Step 5: Solve for x
    x = 725,570,054,416/396,048
  6. Step 6: Final answer
    x = 1,832,025.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.