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Finding the Third Proportional to 256,252 and 551,870

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Solution

The third proportional to 256,252 and 551,870 is: 1,188,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,252 : 551,870 = 551,870 : x
  2. Step 2: Convert to fraction form
    256,252/551,870 = 551,870/x
  3. Step 3: Cross multiply
    256,252x = 551,870 × 551,870
  4. Step 4: Simplify right side
    256,252x = 304,560,496,900
  5. Step 5: Solve for x
    x = 304,560,496,900/256,252
  6. Step 6: Final answer
    x = 1,188,519.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.