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Finding the Third Proportional to 221,745.88 and 485,471.75

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Solution

The third proportional to 221,745.88 and 485,471.75 is: 1,062,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,745.88 : 485,471.75 = 485,471.75 : x
  2. Step 2: Convert to fraction form
    221,745.88/485,471.75 = 485,471.75/x
  3. Step 3: Cross multiply
    221,745.88x = 485,471.75 × 485,471.75
  4. Step 4: Simplify right side
    221,745.88x = 235,682,820,048.06
  5. Step 5: Solve for x
    x = 235,682,820,048.06/221,745.88
  6. Step 6: Final answer
    x = 1,062,850.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.