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Finding the Third Proportional to 283,428.75 and 396,252.75

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Solution

The third proportional to 283,428.75 and 396,252.75 is: 553,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,428.75 : 396,252.75 = 396,252.75 : x
  2. Step 2: Convert to fraction form
    283,428.75/396,252.75 = 396,252.75/x
  3. Step 3: Cross multiply
    283,428.75x = 396,252.75 × 396,252.75
  4. Step 4: Simplify right side
    283,428.75x = 157,016,241,882.56
  5. Step 5: Solve for x
    x = 157,016,241,882.56/283,428.75
  6. Step 6: Final answer
    x = 553,988.41

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.