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Finding the Third Proportional to 339,858,570 and 524,801,069

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Solution

The third proportional to 339,858,570 and 524,801,069 is: 810,384,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,858,570 : 524,801,069 = 524,801,069 : x
  2. Step 2: Convert to fraction form
    339,858,570/524,801,069 = 524,801,069/x
  3. Step 3: Cross multiply
    339,858,570x = 524,801,069 × 524,801,069
  4. Step 4: Simplify right side
    339,858,570x = 275,416,162,023,542,752
  5. Step 5: Solve for x
    x = 275,416,162,023,542,752/339,858,570
  6. Step 6: Final answer
    x = 810,384,631.54

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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.