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Finding the Third Proportional to 201,828 and 443,018

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Solution

The third proportional to 201,828 and 443,018 is: 972,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,828 : 443,018 = 443,018 : x
  2. Step 2: Convert to fraction form
    201,828/443,018 = 443,018/x
  3. Step 3: Cross multiply
    201,828x = 443,018 × 443,018
  4. Step 4: Simplify right side
    201,828x = 196,264,948,324
  5. Step 5: Solve for x
    x = 196,264,948,324/201,828
  6. Step 6: Final answer
    x = 972,436.67

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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.