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Finding the Third Proportional to 268,380,936 and 587,010,384

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Solution

The third proportional to 268,380,936 and 587,010,384 is: 1,283,925,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,380,936 : 587,010,384 = 587,010,384 : x
  2. Step 2: Convert to fraction form
    268,380,936/587,010,384 = 587,010,384/x
  3. Step 3: Cross multiply
    268,380,936x = 587,010,384 × 587,010,384
  4. Step 4: Simplify right side
    268,380,936x = 344,581,190,923,827,456
  5. Step 5: Solve for x
    x = 344,581,190,923,827,456/268,380,936
  6. Step 6: Final answer
    x = 1,283,925,736.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.