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Finding the Third Proportional to 436,874 and 659,325

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Solution

The third proportional to 436,874 and 659,325 is: 995,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,874 : 659,325 = 659,325 : x
  2. Step 2: Convert to fraction form
    436,874/659,325 = 659,325/x
  3. Step 3: Cross multiply
    436,874x = 659,325 × 659,325
  4. Step 4: Simplify right side
    436,874x = 434,709,455,625
  5. Step 5: Solve for x
    x = 434,709,455,625/436,874
  6. Step 6: Final answer
    x = 995,045.38

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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.