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Finding the Third Proportional to 394,736 and 610,967

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Solution

The third proportional to 394,736 and 610,967 is: 945,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,736 : 610,967 = 610,967 : x
  2. Step 2: Convert to fraction form
    394,736/610,967 = 610,967/x
  3. Step 3: Cross multiply
    394,736x = 610,967 × 610,967
  4. Step 4: Simplify right side
    394,736x = 373,280,675,089
  5. Step 5: Solve for x
    x = 373,280,675,089/394,736
  6. Step 6: Final answer
    x = 945,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.