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Finding the Third Proportional to 326,167 and 661,504

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Solution

The third proportional to 326,167 and 661,504 is: 1,341,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,167 : 661,504 = 661,504 : x
  2. Step 2: Convert to fraction form
    326,167/661,504 = 661,504/x
  3. Step 3: Cross multiply
    326,167x = 661,504 × 661,504
  4. Step 4: Simplify right side
    326,167x = 437,587,542,016
  5. Step 5: Solve for x
    x = 437,587,542,016/326,167
  6. Step 6: Final answer
    x = 1,341,605.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.