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Finding the Third Proportional to 200,625.75 and 445,538.25

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Solution

The third proportional to 200,625.75 and 445,538.25 is: 989,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,625.75 : 445,538.25 = 445,538.25 : x
  2. Step 2: Convert to fraction form
    200,625.75/445,538.25 = 445,538.25/x
  3. Step 3: Cross multiply
    200,625.75x = 445,538.25 × 445,538.25
  4. Step 4: Simplify right side
    200,625.75x = 198,504,332,213.06
  5. Step 5: Solve for x
    x = 198,504,332,213.06/200,625.75
  6. Step 6: Final answer
    x = 989,425.99

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.