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Finding the Third Proportional to 404,325,338 and 591,324,771

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Solution

The third proportional to 404,325,338 and 591,324,771 is: 864,810,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,325,338 : 591,324,771 = 591,324,771 : x
  2. Step 2: Convert to fraction form
    404,325,338/591,324,771 = 591,324,771/x
  3. Step 3: Cross multiply
    404,325,338x = 591,324,771 × 591,324,771
  4. Step 4: Simplify right side
    404,325,338x = 349,664,984,798,202,432
  5. Step 5: Solve for x
    x = 349,664,984,798,202,432/404,325,338
  6. Step 6: Final answer
    x = 864,810,962.70

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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.