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Finding the Third Proportional to 394,859.81 and 577,481.91

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Solution

The third proportional to 394,859.81 and 577,481.91 is: 844,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,859.81 : 577,481.91 = 577,481.91 : x
  2. Step 2: Convert to fraction form
    394,859.81/577,481.91 = 577,481.91/x
  3. Step 3: Cross multiply
    394,859.81x = 577,481.91 × 577,481.91
  4. Step 4: Simplify right side
    394,859.81x = 333,485,352,046.13
  5. Step 5: Solve for x
    x = 333,485,352,046.13/394,859.81
  6. Step 6: Final answer
    x = 844,566.45

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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.