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Finding the Third Proportional to 273,409.75 and 409,191.75

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Solution

The third proportional to 273,409.75 and 409,191.75 is: 612,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,409.75 : 409,191.75 = 409,191.75 : x
  2. Step 2: Convert to fraction form
    273,409.75/409,191.75 = 409,191.75/x
  3. Step 3: Cross multiply
    273,409.75x = 409,191.75 × 409,191.75
  4. Step 4: Simplify right side
    273,409.75x = 167,437,888,268.06
  5. Step 5: Solve for x
    x = 167,437,888,268.06/273,409.75
  6. Step 6: Final answer
    x = 612,406.43

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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.