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Finding the Third Proportional to 339,121.69 and 524,616.75

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Solution

The third proportional to 339,121.69 and 524,616.75 is: 811,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,121.69 : 524,616.75 = 524,616.75 : x
  2. Step 2: Convert to fraction form
    339,121.69/524,616.75 = 524,616.75/x
  3. Step 3: Cross multiply
    339,121.69x = 524,616.75 × 524,616.75
  4. Step 4: Simplify right side
    339,121.69x = 275,222,734,380.56
  5. Step 5: Solve for x
    x = 275,222,734,380.56/339,121.69
  6. Step 6: Final answer
    x = 811,575.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.