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Finding the Third Proportional to 404,325,336 and 591,324,768

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Solution

The third proportional to 404,325,336 and 591,324,768 is: 864,810,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,325,336 : 591,324,768 = 591,324,768 : x
  2. Step 2: Convert to fraction form
    404,325,336/591,324,768 = 591,324,768/x
  3. Step 3: Cross multiply
    404,325,336x = 591,324,768 × 591,324,768
  4. Step 4: Simplify right side
    404,325,336x = 349,664,981,250,253,824
  5. Step 5: Solve for x
    x = 349,664,981,250,253,824/404,325,336
  6. Step 6: Final answer
    x = 864,810,958.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.