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Finding the Third Proportional to 256,144 and 551,744

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Solution

The third proportional to 256,144 and 551,744 is: 1,188,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,144 : 551,744 = 551,744 : x
  2. Step 2: Convert to fraction form
    256,144/551,744 = 551,744/x
  3. Step 3: Cross multiply
    256,144x = 551,744 × 551,744
  4. Step 4: Simplify right side
    256,144x = 304,421,441,536
  5. Step 5: Solve for x
    x = 304,421,441,536/256,144
  6. Step 6: Final answer
    x = 1,188,477.74

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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.