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Finding the Third Proportional to 373,723 and 816,997

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Solution

The third proportional to 373,723 and 816,997 is: 1,786,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,723 : 816,997 = 816,997 : x
  2. Step 2: Convert to fraction form
    373,723/816,997 = 816,997/x
  3. Step 3: Cross multiply
    373,723x = 816,997 × 816,997
  4. Step 4: Simplify right side
    373,723x = 667,484,098,009
  5. Step 5: Solve for x
    x = 667,484,098,009/373,723
  6. Step 6: Final answer
    x = 1,786,039.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.