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Finding the Third Proportional to 256,988 and 552,249

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Solution

The third proportional to 256,988 and 552,249 is: 1,186,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,988 : 552,249 = 552,249 : x
  2. Step 2: Convert to fraction form
    256,988/552,249 = 552,249/x
  3. Step 3: Cross multiply
    256,988x = 552,249 × 552,249
  4. Step 4: Simplify right side
    256,988x = 304,978,958,001
  5. Step 5: Solve for x
    x = 304,978,958,001/256,988
  6. Step 6: Final answer
    x = 1,186,743.96

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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.