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Finding the Third Proportional to 381,574 and 828,704

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Solution

The third proportional to 381,574 and 828,704 is: 1,799,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,574 : 828,704 = 828,704 : x
  2. Step 2: Convert to fraction form
    381,574/828,704 = 828,704/x
  3. Step 3: Cross multiply
    381,574x = 828,704 × 828,704
  4. Step 4: Simplify right side
    381,574x = 686,750,319,616
  5. Step 5: Solve for x
    x = 686,750,319,616/381,574
  6. Step 6: Final answer
    x = 1,799,782.79

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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.