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Finding the Third Proportional to 271,777.50 and 449,181

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Solution

The third proportional to 271,777.50 and 449,181 is: 742,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,777.50 : 449,181 = 449,181 : x
  2. Step 2: Convert to fraction form
    271,777.50/449,181 = 449,181/x
  3. Step 3: Cross multiply
    271,777.50x = 449,181 × 449,181
  4. Step 4: Simplify right side
    271,777.50x = 201,763,570,761
  5. Step 5: Solve for x
    x = 201,763,570,761/271,777.50
  6. Step 6: Final answer
    x = 742,385.12

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.