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Finding the Third Proportional to 373,806 and 796,542

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Solution

The third proportional to 373,806 and 796,542 is: 1,697,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,806 : 796,542 = 796,542 : x
  2. Step 2: Convert to fraction form
    373,806/796,542 = 796,542/x
  3. Step 3: Cross multiply
    373,806x = 796,542 × 796,542
  4. Step 4: Simplify right side
    373,806x = 634,479,157,764
  5. Step 5: Solve for x
    x = 634,479,157,764/373,806
  6. Step 6: Final answer
    x = 1,697,348.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.