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Finding the Third Proportional to 404,840.25 and 871,959.38

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Solution

The third proportional to 404,840.25 and 871,959.38 is: 1,878,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,840.25 : 871,959.38 = 871,959.38 : x
  2. Step 2: Convert to fraction form
    404,840.25/871,959.38 = 871,959.38/x
  3. Step 3: Cross multiply
    404,840.25x = 871,959.38 × 871,959.38
  4. Step 4: Simplify right side
    404,840.25x = 760,313,151,650.39
  5. Step 5: Solve for x
    x = 760,313,151,650.39/404,840.25
  6. Step 6: Final answer
    x = 1,878,057.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.