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Finding the Third Proportional to 202,622.25 and 440,919.75

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Solution

The third proportional to 202,622.25 and 440,919.75 is: 959,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,622.25 : 440,919.75 = 440,919.75 : x
  2. Step 2: Convert to fraction form
    202,622.25/440,919.75 = 440,919.75/x
  3. Step 3: Cross multiply
    202,622.25x = 440,919.75 × 440,919.75
  4. Step 4: Simplify right side
    202,622.25x = 194,410,225,940.06
  5. Step 5: Solve for x
    x = 194,410,225,940.06/202,622.25
  6. Step 6: Final answer
    x = 959,471.26

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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.