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Finding the Third Proportional to 396,900 and 599,035.50

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Solution

The third proportional to 396,900 and 599,035.50 is: 904,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,900 : 599,035.50 = 599,035.50 : x
  2. Step 2: Convert to fraction form
    396,900/599,035.50 = 599,035.50/x
  3. Step 3: Cross multiply
    396,900x = 599,035.50 × 599,035.50
  4. Step 4: Simplify right side
    396,900x = 358,843,530,260.25
  5. Step 5: Solve for x
    x = 358,843,530,260.25/396,900
  6. Step 6: Final answer
    x = 904,115.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.