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Finding the Third Proportional to 394,232 and 617,723

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Solution

The third proportional to 394,232 and 617,723 is: 967,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,232 : 617,723 = 617,723 : x
  2. Step 2: Convert to fraction form
    394,232/617,723 = 617,723/x
  3. Step 3: Cross multiply
    394,232x = 617,723 × 617,723
  4. Step 4: Simplify right side
    394,232x = 381,581,704,729
  5. Step 5: Solve for x
    x = 381,581,704,729/394,232
  6. Step 6: Final answer
    x = 967,911.55

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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.