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Finding the Third Proportional to 256,340,562 and 550,900,593

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Solution

The third proportional to 256,340,562 and 550,900,593 is: 1,183,938,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,340,562 : 550,900,593 = 550,900,593 : x
  2. Step 2: Convert to fraction form
    256,340,562/550,900,593 = 550,900,593/x
  3. Step 3: Cross multiply
    256,340,562x = 550,900,593 × 550,900,593
  4. Step 4: Simplify right side
    256,340,562x = 303,491,463,367,751,680
  5. Step 5: Solve for x
    x = 303,491,463,367,751,680/256,340,562
  6. Step 6: Final answer
    x = 1,183,938,511.33

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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.