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Finding the Third Proportional to 214,828 and 460,744

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Solution

The third proportional to 214,828 and 460,744 is: 988,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,828 : 460,744 = 460,744 : x
  2. Step 2: Convert to fraction form
    214,828/460,744 = 460,744/x
  3. Step 3: Cross multiply
    214,828x = 460,744 × 460,744
  4. Step 4: Simplify right side
    214,828x = 212,285,033,536
  5. Step 5: Solve for x
    x = 212,285,033,536/214,828
  6. Step 6: Final answer
    x = 988,162.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.