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Finding the Third Proportional to 419,540,904.75 and 658,135,882.25

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Solution

The third proportional to 419,540,904.75 and 658,135,882.25 is: 1,032,420,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,540,904.75 : 658,135,882.25 = 658,135,882.25 : x
  2. Step 2: Convert to fraction form
    419,540,904.75/658,135,882.25 = 658,135,882.25/x
  3. Step 3: Cross multiply
    419,540,904.75x = 658,135,882.25 × 658,135,882.25
  4. Step 4: Simplify right side
    419,540,904.75x = 433,142,839,504,985,856
  5. Step 5: Solve for x
    x = 433,142,839,504,985,856/419,540,904.75
  6. Step 6: Final answer
    x = 1,032,420,997.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.