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Finding the Third Proportional to 327,728,866.50 and 702,203,733

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Solution

The third proportional to 327,728,866.50 and 702,203,733 is: 1,504,567,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,728,866.50 : 702,203,733 = 702,203,733 : x
  2. Step 2: Convert to fraction form
    327,728,866.50/702,203,733 = 702,203,733/x
  3. Step 3: Cross multiply
    327,728,866.50x = 702,203,733 × 702,203,733
  4. Step 4: Simplify right side
    327,728,866.50x = 493,090,082,639,135,296
  5. Step 5: Solve for x
    x = 493,090,082,639,135,296/327,728,866.50
  6. Step 6: Final answer
    x = 1,504,567,137.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.