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Finding the Third Proportional to 326,168.25 and 661,507.25

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Solution

The third proportional to 326,168.25 and 661,507.25 is: 1,341,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,168.25 : 661,507.25 = 661,507.25 : x
  2. Step 2: Convert to fraction form
    326,168.25/661,507.25 = 661,507.25/x
  3. Step 3: Cross multiply
    326,168.25x = 661,507.25 × 661,507.25
  4. Step 4: Simplify right side
    326,168.25x = 437,591,841,802.56
  5. Step 5: Solve for x
    x = 437,591,841,802.56/326,168.25
  6. Step 6: Final answer
    x = 1,341,613.85

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