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Finding the Third Proportional to 396,171 and 863,077.50

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Solution

The third proportional to 396,171 and 863,077.50 is: 1,880,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,171 : 863,077.50 = 863,077.50 : x
  2. Step 2: Convert to fraction form
    396,171/863,077.50 = 863,077.50/x
  3. Step 3: Cross multiply
    396,171x = 863,077.50 × 863,077.50
  4. Step 4: Simplify right side
    396,171x = 744,902,771,006.25
  5. Step 5: Solve for x
    x = 744,902,771,006.25/396,171
  6. Step 6: Final answer
    x = 1,880,255.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.