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Finding the Third Proportional to 394,802 and 562,678

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Solution

The third proportional to 394,802 and 562,678 is: 801,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,802 : 562,678 = 562,678 : x
  2. Step 2: Convert to fraction form
    394,802/562,678 = 562,678/x
  3. Step 3: Cross multiply
    394,802x = 562,678 × 562,678
  4. Step 4: Simplify right side
    394,802x = 316,606,531,684
  5. Step 5: Solve for x
    x = 316,606,531,684/394,802
  6. Step 6: Final answer
    x = 801,937.51

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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.