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Finding the Third Proportional to 394,011 and 593,932.50

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Solution

The third proportional to 394,011 and 593,932.50 is: 895,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,011 : 593,932.50 = 593,932.50 : x
  2. Step 2: Convert to fraction form
    394,011/593,932.50 = 593,932.50/x
  3. Step 3: Cross multiply
    394,011x = 593,932.50 × 593,932.50
  4. Step 4: Simplify right side
    394,011x = 352,755,814,556.25
  5. Step 5: Solve for x
    x = 352,755,814,556.25/394,011
  6. Step 6: Final answer
    x = 895,294.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.