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Finding the Third Proportional to 394,235 and 617,727

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Solution

The third proportional to 394,235 and 617,727 is: 967,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,235 : 617,727 = 617,727 : x
  2. Step 2: Convert to fraction form
    394,235/617,727 = 617,727/x
  3. Step 3: Cross multiply
    394,235x = 617,727 × 617,727
  4. Step 4: Simplify right side
    394,235x = 381,586,646,529
  5. Step 5: Solve for x
    x = 381,586,646,529/394,235
  6. Step 6: Final answer
    x = 967,916.72

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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.