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Finding the Third Proportional to 275,967 and 512,568

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Solution

The third proportional to 275,967 and 512,568 is: 952,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,967 : 512,568 = 512,568 : x
  2. Step 2: Convert to fraction form
    275,967/512,568 = 512,568/x
  3. Step 3: Cross multiply
    275,967x = 512,568 × 512,568
  4. Step 4: Simplify right side
    275,967x = 262,725,954,624
  5. Step 5: Solve for x
    x = 262,725,954,624/275,967
  6. Step 6: Final answer
    x = 952,019.46

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.