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Finding the Third Proportional to 214,586 and 461,896

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Solution

The third proportional to 214,586 and 461,896 is: 994,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,586 : 461,896 = 461,896 : x
  2. Step 2: Convert to fraction form
    214,586/461,896 = 461,896/x
  3. Step 3: Cross multiply
    214,586x = 461,896 × 461,896
  4. Step 4: Simplify right side
    214,586x = 213,347,914,816
  5. Step 5: Solve for x
    x = 213,347,914,816/214,586
  6. Step 6: Final answer
    x = 994,230.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.