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Finding the Third Proportional to 273,811 and 599,238.50

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Solution

The third proportional to 273,811 and 599,238.50 is: 1,311,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,811 : 599,238.50 = 599,238.50 : x
  2. Step 2: Convert to fraction form
    273,811/599,238.50 = 599,238.50/x
  3. Step 3: Cross multiply
    273,811x = 599,238.50 × 599,238.50
  4. Step 4: Simplify right side
    273,811x = 359,086,779,882.25
  5. Step 5: Solve for x
    x = 359,086,779,882.25/273,811
  6. Step 6: Final answer
    x = 1,311,440.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.