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Finding the Third Proportional to 323,149,412.25 and 511,777,777.50

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Solution

The third proportional to 323,149,412.25 and 511,777,777.50 is: 810,512,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,149,412.25 : 511,777,777.50 = 511,777,777.50 : x
  2. Step 2: Convert to fraction form
    323,149,412.25/511,777,777.50 = 511,777,777.50/x
  3. Step 3: Cross multiply
    323,149,412.25x = 511,777,777.50 × 511,777,777.50
  4. Step 4: Simplify right side
    323,149,412.25x = 261,916,493,542,839,520
  5. Step 5: Solve for x
    x = 261,916,493,542,839,520/323,149,412.25
  6. Step 6: Final answer
    x = 810,512,052.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.