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Finding the Third Proportional to 271,576.13 and 578,238.75

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Solution

The third proportional to 271,576.13 and 578,238.75 is: 1,231,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,576.13 : 578,238.75 = 578,238.75 : x
  2. Step 2: Convert to fraction form
    271,576.13/578,238.75 = 578,238.75/x
  3. Step 3: Cross multiply
    271,576.13x = 578,238.75 × 578,238.75
  4. Step 4: Simplify right side
    271,576.13x = 334,360,052,001.56
  5. Step 5: Solve for x
    x = 334,360,052,001.56/271,576.13
  6. Step 6: Final answer
    x = 1,231,183.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.