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Finding the Third Proportional to 270,723,910.50 and 412,431,081.75

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Solution

The third proportional to 270,723,910.50 and 412,431,081.75 is: 628,313,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,723,910.50 : 412,431,081.75 = 412,431,081.75 : x
  2. Step 2: Convert to fraction form
    270,723,910.50/412,431,081.75 = 412,431,081.75/x
  3. Step 3: Cross multiply
    270,723,910.50x = 412,431,081.75 × 412,431,081.75
  4. Step 4: Simplify right side
    270,723,910.50x = 170,099,397,193,475,168
  5. Step 5: Solve for x
    x = 170,099,397,193,475,168/270,723,910.50
  6. Step 6: Final answer
    x = 628,313,165.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.