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Finding the Third Proportional to 256,340,559 and 550,900,589

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Solution

The third proportional to 256,340,559 and 550,900,589 is: 1,183,938,507.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,340,559 : 550,900,589 = 550,900,589 : x
  2. Step 2: Convert to fraction form
    256,340,559/550,900,589 = 550,900,589/x
  3. Step 3: Cross multiply
    256,340,559x = 550,900,589 × 550,900,589
  4. Step 4: Simplify right side
    256,340,559x = 303,491,458,960,546,944
  5. Step 5: Solve for x
    x = 303,491,458,960,546,944/256,340,559
  6. Step 6: Final answer
    x = 1,183,938,507.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.