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Finding the Third Proportional to 204,074.44 and 437,673.38

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Solution

The third proportional to 204,074.44 and 437,673.38 is: 938,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,074.44 : 437,673.38 = 437,673.38 : x
  2. Step 2: Convert to fraction form
    204,074.44/437,673.38 = 437,673.38/x
  3. Step 3: Cross multiply
    204,074.44x = 437,673.38 × 437,673.38
  4. Step 4: Simplify right side
    204,074.44x = 191,557,983,183.89
  5. Step 5: Solve for x
    x = 191,557,983,183.89/204,074.44
  6. Step 6: Final answer
    x = 938,667.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.