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Finding the Third Proportional to 256,016 and 558,616

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Solution

The third proportional to 256,016 and 558,616 is: 1,218,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,016 : 558,616 = 558,616 : x
  2. Step 2: Convert to fraction form
    256,016/558,616 = 558,616/x
  3. Step 3: Cross multiply
    256,016x = 558,616 × 558,616
  4. Step 4: Simplify right side
    256,016x = 312,051,835,456
  5. Step 5: Solve for x
    x = 312,051,835,456/256,016
  6. Step 6: Final answer
    x = 1,218,876.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.