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Finding the Third Proportional to 236,558 and 512,908

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Solution

The third proportional to 236,558 and 512,908 is: 1,112,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,558 : 512,908 = 512,908 : x
  2. Step 2: Convert to fraction form
    236,558/512,908 = 512,908/x
  3. Step 3: Cross multiply
    236,558x = 512,908 × 512,908
  4. Step 4: Simplify right side
    236,558x = 263,074,616,464
  5. Step 5: Solve for x
    x = 263,074,616,464/236,558
  6. Step 6: Final answer
    x = 1,112,093.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.