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Finding the Third Proportional to 199,732 and 422,000

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Solution

The third proportional to 199,732 and 422,000 is: 891,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,732 : 422,000 = 422,000 : x
  2. Step 2: Convert to fraction form
    199,732/422,000 = 422,000/x
  3. Step 3: Cross multiply
    199,732x = 422,000 × 422,000
  4. Step 4: Simplify right side
    199,732x = 178,084,000,000
  5. Step 5: Solve for x
    x = 178,084,000,000/199,732
  6. Step 6: Final answer
    x = 891,614.76

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.