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Finding the Third Proportional to 225,512 and 534,256

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Solution

The third proportional to 225,512 and 534,256 is: 1,265,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,512 : 534,256 = 534,256 : x
  2. Step 2: Convert to fraction form
    225,512/534,256 = 534,256/x
  3. Step 3: Cross multiply
    225,512x = 534,256 × 534,256
  4. Step 4: Simplify right side
    225,512x = 285,429,473,536
  5. Step 5: Solve for x
    x = 285,429,473,536/225,512
  6. Step 6: Final answer
    x = 1,265,695.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.