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Finding the Third Proportional to 317,193 and 697,474

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Solution

The third proportional to 317,193 and 697,474 is: 1,533,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,193 : 697,474 = 697,474 : x
  2. Step 2: Convert to fraction form
    317,193/697,474 = 697,474/x
  3. Step 3: Cross multiply
    317,193x = 697,474 × 697,474
  4. Step 4: Simplify right side
    317,193x = 486,469,980,676
  5. Step 5: Solve for x
    x = 486,469,980,676/317,193
  6. Step 6: Final answer
    x = 1,533,671.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.