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Finding the Third Proportional to 339,858,190.13 and 524,800,513.69

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Solution

The third proportional to 339,858,190.13 and 524,800,513.69 is: 810,383,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,190.13 : 524,800,513.69 = 524,800,513.69 : x
  2. Step 2: Convert to fraction form
    339,858,190.13/524,800,513.69 = 524,800,513.69/x
  3. Step 3: Cross multiply
    339,858,190.13x = 524,800,513.69 × 524,800,513.69
  4. Step 4: Simplify right side
    339,858,190.13x = 275,415,579,166,663,872
  5. Step 5: Solve for x
    x = 275,415,579,166,663,872/339,858,190.13
  6. Step 6: Final answer
    x = 810,383,822.34

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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.