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Finding the Third Proportional to 204,606 and 441,767.25

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Solution

The third proportional to 204,606 and 441,767.25 is: 953,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,606 : 441,767.25 = 441,767.25 : x
  2. Step 2: Convert to fraction form
    204,606/441,767.25 = 441,767.25/x
  3. Step 3: Cross multiply
    204,606x = 441,767.25 × 441,767.25
  4. Step 4: Simplify right side
    204,606x = 195,158,303,172.56
  5. Step 5: Solve for x
    x = 195,158,303,172.56/204,606
  6. Step 6: Final answer
    x = 953,824.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.