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Finding the Third Proportional to 404,201.07 and 880,163.09

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Solution

The third proportional to 404,201.07 and 880,163.09 is: 1,916,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,201.07 : 880,163.09 = 880,163.09 : x
  2. Step 2: Convert to fraction form
    404,201.07/880,163.09 = 880,163.09/x
  3. Step 3: Cross multiply
    404,201.07x = 880,163.09 × 880,163.09
  4. Step 4: Simplify right side
    404,201.07x = 774,687,057,847.02
  5. Step 5: Solve for x
    x = 774,687,057,847.02/404,201.07
  6. Step 6: Final answer
    x = 1,916,588.32

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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.