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Finding the Third Proportional to 409,293.75 and 861,004.50

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Solution

The third proportional to 409,293.75 and 861,004.50 is: 1,811,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,293.75 : 861,004.50 = 861,004.50 : x
  2. Step 2: Convert to fraction form
    409,293.75/861,004.50 = 861,004.50/x
  3. Step 3: Cross multiply
    409,293.75x = 861,004.50 × 861,004.50
  4. Step 4: Simplify right side
    409,293.75x = 741,328,749,020.25
  5. Step 5: Solve for x
    x = 741,328,749,020.25/409,293.75
  6. Step 6: Final answer
    x = 1,811,238.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.