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Finding the Third Proportional to 239,037.75 and 521,538.75

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Solution

The third proportional to 239,037.75 and 521,538.75 is: 1,137,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,037.75 : 521,538.75 = 521,538.75 : x
  2. Step 2: Convert to fraction form
    239,037.75/521,538.75 = 521,538.75/x
  3. Step 3: Cross multiply
    239,037.75x = 521,538.75 × 521,538.75
  4. Step 4: Simplify right side
    239,037.75x = 272,002,667,751.56
  5. Step 5: Solve for x
    x = 272,002,667,751.56/239,037.75
  6. Step 6: Final answer
    x = 1,137,906.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.