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Finding the Third Proportional to 236,876 and 364,463

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Solution

The third proportional to 236,876 and 364,463 is: 560,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,876 : 364,463 = 364,463 : x
  2. Step 2: Convert to fraction form
    236,876/364,463 = 364,463/x
  3. Step 3: Cross multiply
    236,876x = 364,463 × 364,463
  4. Step 4: Simplify right side
    236,876x = 132,833,278,369
  5. Step 5: Solve for x
    x = 132,833,278,369/236,876
  6. Step 6: Final answer
    x = 560,771.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.