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Finding the Third Proportional to 380,296 and 569,256

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Solution

The third proportional to 380,296 and 569,256 is: 852,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,296 : 569,256 = 569,256 : x
  2. Step 2: Convert to fraction form
    380,296/569,256 = 569,256/x
  3. Step 3: Cross multiply
    380,296x = 569,256 × 569,256
  4. Step 4: Simplify right side
    380,296x = 324,052,393,536
  5. Step 5: Solve for x
    x = 324,052,393,536/380,296
  6. Step 6: Final answer
    x = 852,105.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.