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Finding the Third Proportional to 253,758 and 551,244

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Solution

The third proportional to 253,758 and 551,244 is: 1,197,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,758 : 551,244 = 551,244 : x
  2. Step 2: Convert to fraction form
    253,758/551,244 = 551,244/x
  3. Step 3: Cross multiply
    253,758x = 551,244 × 551,244
  4. Step 4: Simplify right side
    253,758x = 303,869,947,536
  5. Step 5: Solve for x
    x = 303,869,947,536/253,758
  6. Step 6: Final answer
    x = 1,197,479.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.