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Finding the Third Proportional to 394,809 and 562,686

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Solution

The third proportional to 394,809 and 562,686 is: 801,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,809 : 562,686 = 562,686 : x
  2. Step 2: Convert to fraction form
    394,809/562,686 = 562,686/x
  3. Step 3: Cross multiply
    394,809x = 562,686 × 562,686
  4. Step 4: Simplify right side
    394,809x = 316,615,534,596
  5. Step 5: Solve for x
    x = 316,615,534,596/394,809
  6. Step 6: Final answer
    x = 801,946.09

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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.