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Finding the Third Proportional to 236,439 and 512,199

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Solution

The third proportional to 236,439 and 512,199 is: 1,109,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,439 : 512,199 = 512,199 : x
  2. Step 2: Convert to fraction form
    236,439/512,199 = 512,199/x
  3. Step 3: Cross multiply
    236,439x = 512,199 × 512,199
  4. Step 4: Simplify right side
    236,439x = 262,347,815,601
  5. Step 5: Solve for x
    x = 262,347,815,601/236,439
  6. Step 6: Final answer
    x = 1,109,579.28

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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.