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Finding the Third Proportional to 523,067 and 799,606

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Solution

The third proportional to 523,067 and 799,606 is: 1,222,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,067 : 799,606 = 799,606 : x
  2. Step 2: Convert to fraction form
    523,067/799,606 = 799,606/x
  3. Step 3: Cross multiply
    523,067x = 799,606 × 799,606
  4. Step 4: Simplify right side
    523,067x = 639,369,755,236
  5. Step 5: Solve for x
    x = 639,369,755,236/523,067
  6. Step 6: Final answer
    x = 1,222,347.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.