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Finding the Third Proportional to 267,943,314 and 580,410,508.50

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Solution

The third proportional to 267,943,314 and 580,410,508.50 is: 1,257,267,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,943,314 : 580,410,508.50 = 580,410,508.50 : x
  2. Step 2: Convert to fraction form
    267,943,314/580,410,508.50 = 580,410,508.50/x
  3. Step 3: Cross multiply
    267,943,314x = 580,410,508.50 × 580,410,508.50
  4. Step 4: Simplify right side
    267,943,314x = 336,876,358,377,228,544
  5. Step 5: Solve for x
    x = 336,876,358,377,228,544/267,943,314
  6. Step 6: Final answer
    x = 1,257,267,268.02

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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.