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Finding the Third Proportional to 362,199 and 796,110

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Solution

The third proportional to 362,199 and 796,110 is: 1,749,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,199 : 796,110 = 796,110 : x
  2. Step 2: Convert to fraction form
    362,199/796,110 = 796,110/x
  3. Step 3: Cross multiply
    362,199x = 796,110 × 796,110
  4. Step 4: Simplify right side
    362,199x = 633,791,132,100
  5. Step 5: Solve for x
    x = 633,791,132,100/362,199
  6. Step 6: Final answer
    x = 1,749,842.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.