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Finding the Third Proportional to 267,943,297.50 and 580,410,477

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Solution

The third proportional to 267,943,297.50 and 580,410,477 is: 1,257,267,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,943,297.50 : 580,410,477 = 580,410,477 : x
  2. Step 2: Convert to fraction form
    267,943,297.50/580,410,477 = 580,410,477/x
  3. Step 3: Cross multiply
    267,943,297.50x = 580,410,477 × 580,410,477
  4. Step 4: Simplify right side
    267,943,297.50x = 336,876,321,811,367,552
  5. Step 5: Solve for x
    x = 336,876,321,811,367,552/267,943,297.50
  6. Step 6: Final answer
    x = 1,257,267,208.97

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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.