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Finding the Third Proportional to 496,926 and 662,067

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Solution

The third proportional to 496,926 and 662,067 is: 882,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,926 : 662,067 = 662,067 : x
  2. Step 2: Convert to fraction form
    496,926/662,067 = 662,067/x
  3. Step 3: Cross multiply
    496,926x = 662,067 × 662,067
  4. Step 4: Simplify right side
    496,926x = 438,332,712,489
  5. Step 5: Solve for x
    x = 438,332,712,489/496,926
  6. Step 6: Final answer
    x = 882,088.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.