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Finding the Third Proportional to 394,551 and 618,111

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Solution

The third proportional to 394,551 and 618,111 is: 968,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,551 : 618,111 = 618,111 : x
  2. Step 2: Convert to fraction form
    394,551/618,111 = 618,111/x
  3. Step 3: Cross multiply
    394,551x = 618,111 × 618,111
  4. Step 4: Simplify right side
    394,551x = 382,061,208,321
  5. Step 5: Solve for x
    x = 382,061,208,321/394,551
  6. Step 6: Final answer
    x = 968,344.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.