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Finding the Third Proportional to 381,558.75 and 828,727.50

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Solution

The third proportional to 381,558.75 and 828,727.50 is: 1,799,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,558.75 : 828,727.50 = 828,727.50 : x
  2. Step 2: Convert to fraction form
    381,558.75/828,727.50 = 828,727.50/x
  3. Step 3: Cross multiply
    381,558.75x = 828,727.50 × 828,727.50
  4. Step 4: Simplify right side
    381,558.75x = 686,789,269,256.25
  5. Step 5: Solve for x
    x = 686,789,269,256.25/381,558.75
  6. Step 6: Final answer
    x = 1,799,956.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.