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Finding the Third Proportional to 396,975 and 845,155.50

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Solution

The third proportional to 396,975 and 845,155.50 is: 1,799,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,975 : 845,155.50 = 845,155.50 : x
  2. Step 2: Convert to fraction form
    396,975/845,155.50 = 845,155.50/x
  3. Step 3: Cross multiply
    396,975x = 845,155.50 × 845,155.50
  4. Step 4: Simplify right side
    396,975x = 714,287,819,180.25
  5. Step 5: Solve for x
    x = 714,287,819,180.25/396,975
  6. Step 6: Final answer
    x = 1,799,326.96

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