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Finding the Third Proportional to 394,275 and 617,685

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Solution

The third proportional to 394,275 and 617,685 is: 967,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,275 : 617,685 = 617,685 : x
  2. Step 2: Convert to fraction form
    394,275/617,685 = 617,685/x
  3. Step 3: Cross multiply
    394,275x = 617,685 × 617,685
  4. Step 4: Simplify right side
    394,275x = 381,534,759,225
  5. Step 5: Solve for x
    x = 381,534,759,225/394,275
  6. Step 6: Final answer
    x = 967,686.92

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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.