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Finding the Third Proportional to 264,091.50 and 395,124.75

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Solution

The third proportional to 264,091.50 and 395,124.75 is: 591,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,091.50 : 395,124.75 = 395,124.75 : x
  2. Step 2: Convert to fraction form
    264,091.50/395,124.75 = 395,124.75/x
  3. Step 3: Cross multiply
    264,091.50x = 395,124.75 × 395,124.75
  4. Step 4: Simplify right side
    264,091.50x = 156,123,568,062.56
  5. Step 5: Solve for x
    x = 156,123,568,062.56/264,091.50
  6. Step 6: Final answer
    x = 591,172.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.