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Finding the Third Proportional to 214,450 and 458,350

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Solution

The third proportional to 214,450 and 458,350 is: 979,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,450 : 458,350 = 458,350 : x
  2. Step 2: Convert to fraction form
    214,450/458,350 = 458,350/x
  3. Step 3: Cross multiply
    214,450x = 458,350 × 458,350
  4. Step 4: Simplify right side
    214,450x = 210,084,722,500
  5. Step 5: Solve for x
    x = 210,084,722,500/214,450
  6. Step 6: Final answer
    x = 979,644.31

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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.