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Finding the Third Proportional to 201,821 and 443,004

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Solution

The third proportional to 201,821 and 443,004 is: 972,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,821 : 443,004 = 443,004 : x
  2. Step 2: Convert to fraction form
    201,821/443,004 = 443,004/x
  3. Step 3: Cross multiply
    201,821x = 443,004 × 443,004
  4. Step 4: Simplify right side
    201,821x = 196,252,544,016
  5. Step 5: Solve for x
    x = 196,252,544,016/201,821
  6. Step 6: Final answer
    x = 972,408.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.