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Finding the Third Proportional to 256,250 and 551,866

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Solution

The third proportional to 256,250 and 551,866 is: 1,188,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,250 : 551,866 = 551,866 : x
  2. Step 2: Convert to fraction form
    256,250/551,866 = 551,866/x
  3. Step 3: Cross multiply
    256,250x = 551,866 × 551,866
  4. Step 4: Simplify right side
    256,250x = 304,556,081,956
  5. Step 5: Solve for x
    x = 304,556,081,956/256,250
  6. Step 6: Final answer
    x = 1,188,511.54

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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.