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Finding the Third Proportional to 381,204.75 and 828,808.50

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Solution

The third proportional to 381,204.75 and 828,808.50 is: 1,801,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,204.75 : 828,808.50 = 828,808.50 : x
  2. Step 2: Convert to fraction form
    381,204.75/828,808.50 = 828,808.50/x
  3. Step 3: Cross multiply
    381,204.75x = 828,808.50 × 828,808.50
  4. Step 4: Simplify right side
    381,204.75x = 686,923,529,672.25
  5. Step 5: Solve for x
    x = 686,923,529,672.25/381,204.75
  6. Step 6: Final answer
    x = 1,801,980.51

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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.