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Finding the Third Proportional to 394,866 and 577,489

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Solution

The third proportional to 394,866 and 577,489 is: 844,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,866 : 577,489 = 577,489 : x
  2. Step 2: Convert to fraction form
    394,866/577,489 = 577,489/x
  3. Step 3: Cross multiply
    394,866x = 577,489 × 577,489
  4. Step 4: Simplify right side
    394,866x = 333,493,545,121
  5. Step 5: Solve for x
    x = 333,493,545,121/394,866
  6. Step 6: Final answer
    x = 844,573.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.