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Finding the Third Proportional to 431,568 and 647,358.75

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Solution

The third proportional to 431,568 and 647,358.75 is: 971,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,568 : 647,358.75 = 647,358.75 : x
  2. Step 2: Convert to fraction form
    431,568/647,358.75 = 647,358.75/x
  3. Step 3: Cross multiply
    431,568x = 647,358.75 × 647,358.75
  4. Step 4: Simplify right side
    431,568x = 419,073,351,201.56
  5. Step 5: Solve for x
    x = 419,073,351,201.56/431,568
  6. Step 6: Final answer
    x = 971,048.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.