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Finding the Third Proportional to 659,122.31 and 995,753.25

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Solution

The third proportional to 659,122.31 and 995,753.25 is: 1,504,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,122.31 : 995,753.25 = 995,753.25 : x
  2. Step 2: Convert to fraction form
    659,122.31/995,753.25 = 995,753.25/x
  3. Step 3: Cross multiply
    659,122.31x = 995,753.25 × 995,753.25
  4. Step 4: Simplify right side
    659,122.31x = 991,524,534,885.56
  5. Step 5: Solve for x
    x = 991,524,534,885.56/659,122.31
  6. Step 6: Final answer
    x = 1,504,310.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.