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Finding the Third Proportional to 397,605 and 828,741

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Solution

The third proportional to 397,605 and 828,741 is: 1,727,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,605 : 828,741 = 828,741 : x
  2. Step 2: Convert to fraction form
    397,605/828,741 = 828,741/x
  3. Step 3: Cross multiply
    397,605x = 828,741 × 828,741
  4. Step 4: Simplify right side
    397,605x = 686,811,645,081
  5. Step 5: Solve for x
    x = 686,811,645,081/397,605
  6. Step 6: Final answer
    x = 1,727,371.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.