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Finding the Third Proportional to 317,568 and 451,399.50

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Solution

The third proportional to 317,568 and 451,399.50 is: 641,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,568 : 451,399.50 = 451,399.50 : x
  2. Step 2: Convert to fraction form
    317,568/451,399.50 = 451,399.50/x
  3. Step 3: Cross multiply
    317,568x = 451,399.50 × 451,399.50
  4. Step 4: Simplify right side
    317,568x = 203,761,508,600.25
  5. Step 5: Solve for x
    x = 203,761,508,600.25/317,568
  6. Step 6: Final answer
    x = 641,631.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.