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Finding the Third Proportional to 394,806 and 562,684

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Solution

The third proportional to 394,806 and 562,684 is: 801,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,806 : 562,684 = 562,684 : x
  2. Step 2: Convert to fraction form
    394,806/562,684 = 562,684/x
  3. Step 3: Cross multiply
    394,806x = 562,684 × 562,684
  4. Step 4: Simplify right side
    394,806x = 316,613,283,856
  5. Step 5: Solve for x
    x = 316,613,283,856/394,806
  6. Step 6: Final answer
    x = 801,946.48

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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.