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Finding the Third Proportional to 264,762 and 404,067

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Solution

The third proportional to 264,762 and 404,067 is: 616,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,762 : 404,067 = 404,067 : x
  2. Step 2: Convert to fraction form
    264,762/404,067 = 404,067/x
  3. Step 3: Cross multiply
    264,762x = 404,067 × 404,067
  4. Step 4: Simplify right side
    264,762x = 163,270,140,489
  5. Step 5: Solve for x
    x = 163,270,140,489/264,762
  6. Step 6: Final answer
    x = 616,667.57

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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.