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Finding the Third Proportional to 273,699.50 and 410,138.75

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Solution

The third proportional to 273,699.50 and 410,138.75 is: 614,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,699.50 : 410,138.75 = 410,138.75 : x
  2. Step 2: Convert to fraction form
    273,699.50/410,138.75 = 410,138.75/x
  3. Step 3: Cross multiply
    273,699.50x = 410,138.75 × 410,138.75
  4. Step 4: Simplify right side
    273,699.50x = 168,213,794,251.56
  5. Step 5: Solve for x
    x = 168,213,794,251.56/273,699.50
  6. Step 6: Final answer
    x = 614,592.99

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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.