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Finding the Third Proportional to 311,431.50 and 481,160.25

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Solution

The third proportional to 311,431.50 and 481,160.25 is: 743,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,431.50 : 481,160.25 = 481,160.25 : x
  2. Step 2: Convert to fraction form
    311,431.50/481,160.25 = 481,160.25/x
  3. Step 3: Cross multiply
    311,431.50x = 481,160.25 × 481,160.25
  4. Step 4: Simplify right side
    311,431.50x = 231,515,186,180.06
  5. Step 5: Solve for x
    x = 231,515,186,180.06/311,431.50
  6. Step 6: Final answer
    x = 743,390.40

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