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Finding the Third Proportional to 236,821 and 451,817

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Solution

The third proportional to 236,821 and 451,817 is: 861,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,821 : 451,817 = 451,817 : x
  2. Step 2: Convert to fraction form
    236,821/451,817 = 451,817/x
  3. Step 3: Cross multiply
    236,821x = 451,817 × 451,817
  4. Step 4: Simplify right side
    236,821x = 204,138,601,489
  5. Step 5: Solve for x
    x = 204,138,601,489/236,821
  6. Step 6: Final answer
    x = 861,995.35

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.