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Finding the Third Proportional to 381,580 and 828,772

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Solution

The third proportional to 381,580 and 828,772 is: 1,800,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,580 : 828,772 = 828,772 : x
  2. Step 2: Convert to fraction form
    381,580/828,772 = 828,772/x
  3. Step 3: Cross multiply
    381,580x = 828,772 × 828,772
  4. Step 4: Simplify right side
    381,580x = 686,863,027,984
  5. Step 5: Solve for x
    x = 686,863,027,984/381,580
  6. Step 6: Final answer
    x = 1,800,049.87

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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.