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Finding the Third Proportional to 339,858,200.25 and 524,800,542.38

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Solution

The third proportional to 339,858,200.25 and 524,800,542.38 is: 810,383,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,200.25 : 524,800,542.38 = 524,800,542.38 : x
  2. Step 2: Convert to fraction form
    339,858,200.25/524,800,542.38 = 524,800,542.38/x
  3. Step 3: Cross multiply
    339,858,200.25x = 524,800,542.38 × 524,800,542.38
  4. Step 4: Simplify right side
    339,858,200.25x = 275,415,609,277,094,176
  5. Step 5: Solve for x
    x = 275,415,609,277,094,176/339,858,200.25
  6. Step 6: Final answer
    x = 810,383,886.79

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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.