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Finding the Third Proportional to 394,836 and 562,722

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Solution

The third proportional to 394,836 and 562,722 is: 801,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,836 : 562,722 = 562,722 : x
  2. Step 2: Convert to fraction form
    394,836/562,722 = 562,722/x
  3. Step 3: Cross multiply
    394,836x = 562,722 × 562,722
  4. Step 4: Simplify right side
    394,836x = 316,656,049,284
  5. Step 5: Solve for x
    x = 316,656,049,284/394,836
  6. Step 6: Final answer
    x = 801,993.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.