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Finding the Third Proportional to 364,023,538 and 515,082,147

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Solution

The third proportional to 364,023,538 and 515,082,147 is: 728,825,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,023,538 : 515,082,147 = 515,082,147 : x
  2. Step 2: Convert to fraction form
    364,023,538/515,082,147 = 515,082,147/x
  3. Step 3: Cross multiply
    364,023,538x = 515,082,147 × 515,082,147
  4. Step 4: Simplify right side
    364,023,538x = 265,309,618,158,129,600
  5. Step 5: Solve for x
    x = 265,309,618,158,129,600/364,023,538
  6. Step 6: Final answer
    x = 728,825,447.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.