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Finding the Third Proportional to 380,794.50 and 821,093.63

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Solution

The third proportional to 380,794.50 and 821,093.63 is: 1,770,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,794.50 : 821,093.63 = 821,093.63 : x
  2. Step 2: Convert to fraction form
    380,794.50/821,093.63 = 821,093.63/x
  3. Step 3: Cross multiply
    380,794.50x = 821,093.63 × 821,093.63
  4. Step 4: Simplify right side
    380,794.50x = 674,194,741,015.64
  5. Step 5: Solve for x
    x = 674,194,741,015.64/380,794.50
  6. Step 6: Final answer
    x = 1,770,494.95

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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.