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Finding the Third Proportional to 381,620 and 828,850

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Solution

The third proportional to 381,620 and 828,850 is: 1,800,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,620 : 828,850 = 828,850 : x
  2. Step 2: Convert to fraction form
    381,620/828,850 = 828,850/x
  3. Step 3: Cross multiply
    381,620x = 828,850 × 828,850
  4. Step 4: Simplify right side
    381,620x = 686,992,322,500
  5. Step 5: Solve for x
    x = 686,992,322,500/381,620
  6. Step 6: Final answer
    x = 1,800,200.00

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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.