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Finding the Third Proportional to 300,187 and 422,200

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Solution

The third proportional to 300,187 and 422,200 is: 593,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,187 : 422,200 = 422,200 : x
  2. Step 2: Convert to fraction form
    300,187/422,200 = 422,200/x
  3. Step 3: Cross multiply
    300,187x = 422,200 × 422,200
  4. Step 4: Simplify right side
    300,187x = 178,252,840,000
  5. Step 5: Solve for x
    x = 178,252,840,000/300,187
  6. Step 6: Final answer
    x = 593,805.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.