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Finding the Third Proportional to 394,237 and 617,729

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Solution

The third proportional to 394,237 and 617,729 is: 967,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,237 : 617,729 = 617,729 : x
  2. Step 2: Convert to fraction form
    394,237/617,729 = 617,729/x
  3. Step 3: Cross multiply
    394,237x = 617,729 × 617,729
  4. Step 4: Simplify right side
    394,237x = 381,589,117,441
  5. Step 5: Solve for x
    x = 381,589,117,441/394,237
  6. Step 6: Final answer
    x = 967,918.07

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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.