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Finding the Third Proportional to 200,908.50 and 441,993

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Solution

The third proportional to 200,908.50 and 441,993 is: 972,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.50 : 441,993 = 441,993 : x
  2. Step 2: Convert to fraction form
    200,908.50/441,993 = 441,993/x
  3. Step 3: Cross multiply
    200,908.50x = 441,993 × 441,993
  4. Step 4: Simplify right side
    200,908.50x = 195,357,812,049
  5. Step 5: Solve for x
    x = 195,357,812,049/200,908.50
  6. Step 6: Final answer
    x = 972,372.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.