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Finding the Third Proportional to 394,758,288 and 855,415,224

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Solution

The third proportional to 394,758,288 and 855,415,224 is: 1,853,628,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,758,288 : 855,415,224 = 855,415,224 : x
  2. Step 2: Convert to fraction form
    394,758,288/855,415,224 = 855,415,224/x
  3. Step 3: Cross multiply
    394,758,288x = 855,415,224 × 855,415,224
  4. Step 4: Simplify right side
    394,758,288x = 731,735,205,450,970,112
  5. Step 5: Solve for x
    x = 731,735,205,450,970,112/394,758,288
  6. Step 6: Final answer
    x = 1,853,628,480.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.