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Finding the Third Proportional to 222,328 and 487,866

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Solution

The third proportional to 222,328 and 487,866 is: 1,070,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,328 : 487,866 = 487,866 : x
  2. Step 2: Convert to fraction form
    222,328/487,866 = 487,866/x
  3. Step 3: Cross multiply
    222,328x = 487,866 × 487,866
  4. Step 4: Simplify right side
    222,328x = 238,013,233,956
  5. Step 5: Solve for x
    x = 238,013,233,956/222,328
  6. Step 6: Final answer
    x = 1,070,549.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.