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Finding the Third Proportional to 394,560 and 852,174

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Solution

The third proportional to 394,560 and 852,174 is: 1,840,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,560 : 852,174 = 852,174 : x
  2. Step 2: Convert to fraction form
    394,560/852,174 = 852,174/x
  3. Step 3: Cross multiply
    394,560x = 852,174 × 852,174
  4. Step 4: Simplify right side
    394,560x = 726,200,526,276
  5. Step 5: Solve for x
    x = 726,200,526,276/394,560
  6. Step 6: Final answer
    x = 1,840,532.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.