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Finding the Third Proportional to 203,488.50 and 441,991.50

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Solution

The third proportional to 203,488.50 and 441,991.50 is: 960,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.50 : 441,991.50 = 441,991.50 : x
  2. Step 2: Convert to fraction form
    203,488.50/441,991.50 = 441,991.50/x
  3. Step 3: Cross multiply
    203,488.50x = 441,991.50 × 441,991.50
  4. Step 4: Simplify right side
    203,488.50x = 195,356,486,072.25
  5. Step 5: Solve for x
    x = 195,356,486,072.25/203,488.50
  6. Step 6: Final answer
    x = 960,036.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.