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Finding the Third Proportional to 339,858,123 and 524,800,399.50

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Solution

The third proportional to 339,858,123 and 524,800,399.50 is: 810,383,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,123 : 524,800,399.50 = 524,800,399.50 : x
  2. Step 2: Convert to fraction form
    339,858,123/524,800,399.50 = 524,800,399.50/x
  3. Step 3: Cross multiply
    339,858,123x = 524,800,399.50 × 524,800,399.50
  4. Step 4: Simplify right side
    339,858,123x = 275,415,459,315,359,616
  5. Step 5: Solve for x
    x = 275,415,459,315,359,616/339,858,123
  6. Step 6: Final answer
    x = 810,383,629.75

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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.