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Finding the Third Proportional to 339,858,867 and 524,801,524

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Solution

The third proportional to 339,858,867 and 524,801,524 is: 810,385,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,867 : 524,801,524 = 524,801,524 : x
  2. Step 2: Convert to fraction form
    339,858,867/524,801,524 = 524,801,524/x
  3. Step 3: Cross multiply
    339,858,867x = 524,801,524 × 524,801,524
  4. Step 4: Simplify right side
    339,858,867x = 275,416,639,592,722,560
  5. Step 5: Solve for x
    x = 275,416,639,592,722,560/339,858,867
  6. Step 6: Final answer
    x = 810,385,328.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.