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Finding the Third Proportional to 256,848 and 558,192

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Solution

The third proportional to 256,848 and 558,192 is: 1,213,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,848 : 558,192 = 558,192 : x
  2. Step 2: Convert to fraction form
    256,848/558,192 = 558,192/x
  3. Step 3: Cross multiply
    256,848x = 558,192 × 558,192
  4. Step 4: Simplify right side
    256,848x = 311,578,308,864
  5. Step 5: Solve for x
    x = 311,578,308,864/256,848
  6. Step 6: Final answer
    x = 1,213,084.43

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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.