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Finding the Third Proportional to 201,809 and 442,980

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Solution

The third proportional to 201,809 and 442,980 is: 972,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809 : 442,980 = 442,980 : x
  2. Step 2: Convert to fraction form
    201,809/442,980 = 442,980/x
  3. Step 3: Cross multiply
    201,809x = 442,980 × 442,980
  4. Step 4: Simplify right side
    201,809x = 196,231,280,400
  5. Step 5: Solve for x
    x = 196,231,280,400/201,809
  6. Step 6: Final answer
    x = 972,361.39

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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.