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Finding the Third Proportional to 280,285,519.50 and 613,356,003

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Solution

The third proportional to 280,285,519.50 and 613,356,003 is: 1,342,222,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285,519.50 : 613,356,003 = 613,356,003 : x
  2. Step 2: Convert to fraction form
    280,285,519.50/613,356,003 = 613,356,003/x
  3. Step 3: Cross multiply
    280,285,519.50x = 613,356,003 × 613,356,003
  4. Step 4: Simplify right side
    280,285,519.50x = 376,205,586,416,136,000
  5. Step 5: Solve for x
    x = 376,205,586,416,136,000/280,285,519.50
  6. Step 6: Final answer
    x = 1,342,222,698.79

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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.