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Finding the Third Proportional to 394,806 and 562,683

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Solution

The third proportional to 394,806 and 562,683 is: 801,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,806 : 562,683 = 562,683 : x
  2. Step 2: Convert to fraction form
    394,806/562,683 = 562,683/x
  3. Step 3: Cross multiply
    394,806x = 562,683 × 562,683
  4. Step 4: Simplify right side
    394,806x = 316,612,158,489
  5. Step 5: Solve for x
    x = 316,612,158,489/394,806
  6. Step 6: Final answer
    x = 801,943.63

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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.