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Finding the Third Proportional to 339,858,121.50 and 524,800,416

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Solution

The third proportional to 339,858,121.50 and 524,800,416 is: 810,383,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,121.50 : 524,800,416 = 524,800,416 : x
  2. Step 2: Convert to fraction form
    339,858,121.50/524,800,416 = 524,800,416/x
  3. Step 3: Cross multiply
    339,858,121.50x = 524,800,416 × 524,800,416
  4. Step 4: Simplify right side
    339,858,121.50x = 275,415,476,633,773,056
  5. Step 5: Solve for x
    x = 275,415,476,633,773,056/339,858,121.50
  6. Step 6: Final answer
    x = 810,383,684.28

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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.