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Finding the Third Proportional to 247,904 and 543,256

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Solution

The third proportional to 247,904 and 543,256 is: 1,190,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,904 : 543,256 = 543,256 : x
  2. Step 2: Convert to fraction form
    247,904/543,256 = 543,256/x
  3. Step 3: Cross multiply
    247,904x = 543,256 × 543,256
  4. Step 4: Simplify right side
    247,904x = 295,127,081,536
  5. Step 5: Solve for x
    x = 295,127,081,536/247,904
  6. Step 6: Final answer
    x = 1,190,489.39

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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.