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Finding the Third Proportional to 214,450 and 453,092

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Solution

The third proportional to 214,450 and 453,092 is: 957,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,450 : 453,092 = 453,092 : x
  2. Step 2: Convert to fraction form
    214,450/453,092 = 453,092/x
  3. Step 3: Cross multiply
    214,450x = 453,092 × 453,092
  4. Step 4: Simplify right side
    214,450x = 205,292,360,464
  5. Step 5: Solve for x
    x = 205,292,360,464/214,450
  6. Step 6: Final answer
    x = 957,297.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.