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Finding the Third Proportional to 203,889.94 and 441,380.53

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Solution

The third proportional to 203,889.94 and 441,380.53 is: 955,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,889.94 : 441,380.53 = 441,380.53 : x
  2. Step 2: Convert to fraction form
    203,889.94/441,380.53 = 441,380.53/x
  3. Step 3: Cross multiply
    203,889.94x = 441,380.53 × 441,380.53
  4. Step 4: Simplify right side
    203,889.94x = 194,816,773,366.53
  5. Step 5: Solve for x
    x = 194,816,773,366.53/203,889.94
  6. Step 6: Final answer
    x = 955,499.70

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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.