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Finding the Third Proportional to 339,858,487.13 and 524,800,942.31

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Solution

The third proportional to 339,858,487.13 and 524,800,942.31 is: 810,384,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,487.13 : 524,800,942.31 = 524,800,942.31 : x
  2. Step 2: Convert to fraction form
    339,858,487.13/524,800,942.31 = 524,800,942.31/x
  3. Step 3: Cross multiply
    339,858,487.13x = 524,800,942.31 × 524,800,942.31
  4. Step 4: Simplify right side
    339,858,487.13x = 275,416,029,052,087,968
  5. Step 5: Solve for x
    x = 275,416,029,052,087,968/339,858,487.13
  6. Step 6: Final answer
    x = 810,384,437.89

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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.