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Finding the Third Proportional to 273,667.50 and 409,405.50

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Solution

The third proportional to 273,667.50 and 409,405.50 is: 612,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,667.50 : 409,405.50 = 409,405.50 : x
  2. Step 2: Convert to fraction form
    273,667.50/409,405.50 = 409,405.50/x
  3. Step 3: Cross multiply
    273,667.50x = 409,405.50 × 409,405.50
  4. Step 4: Simplify right side
    273,667.50x = 167,612,863,430.25
  5. Step 5: Solve for x
    x = 167,612,863,430.25/273,667.50
  6. Step 6: Final answer
    x = 612,469.01

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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.