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Finding the Third Proportional to 404,847.75 and 605,040.25

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Solution

The third proportional to 404,847.75 and 605,040.25 is: 904,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,847.75 : 605,040.25 = 605,040.25 : x
  2. Step 2: Convert to fraction form
    404,847.75/605,040.25 = 605,040.25/x
  3. Step 3: Cross multiply
    404,847.75x = 605,040.25 × 605,040.25
  4. Step 4: Simplify right side
    404,847.75x = 366,073,704,120.06
  5. Step 5: Solve for x
    x = 366,073,704,120.06/404,847.75
  6. Step 6: Final answer
    x = 904,225.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.