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Finding the Third Proportional to 311,988.38 and 481,200.75

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Solution

The third proportional to 311,988.38 and 481,200.75 is: 742,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,988.38 : 481,200.75 = 481,200.75 : x
  2. Step 2: Convert to fraction form
    311,988.38/481,200.75 = 481,200.75/x
  3. Step 3: Cross multiply
    311,988.38x = 481,200.75 × 481,200.75
  4. Step 4: Simplify right side
    311,988.38x = 231,554,161,800.56
  5. Step 5: Solve for x
    x = 231,554,161,800.56/311,988.38
  6. Step 6: Final answer
    x = 742,188.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.