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Finding the Third Proportional to 222,724 and 485,647

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Solution

The third proportional to 222,724 and 485,647 is: 1,058,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,724 : 485,647 = 485,647 : x
  2. Step 2: Convert to fraction form
    222,724/485,647 = 485,647/x
  3. Step 3: Cross multiply
    222,724x = 485,647 × 485,647
  4. Step 4: Simplify right side
    222,724x = 235,853,008,609
  5. Step 5: Solve for x
    x = 235,853,008,609/222,724
  6. Step 6: Final answer
    x = 1,058,947.44

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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.