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Finding the Third Proportional to 251,208 and 543,888

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Solution

The third proportional to 251,208 and 543,888 is: 1,177,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,208 : 543,888 = 543,888 : x
  2. Step 2: Convert to fraction form
    251,208/543,888 = 543,888/x
  3. Step 3: Cross multiply
    251,208x = 543,888 × 543,888
  4. Step 4: Simplify right side
    251,208x = 295,814,156,544
  5. Step 5: Solve for x
    x = 295,814,156,544/251,208
  6. Step 6: Final answer
    x = 1,177,566.62

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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.