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Finding the Third Proportional to 214,452 and 453,096

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Solution

The third proportional to 214,452 and 453,096 is: 957,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,452 : 453,096 = 453,096 : x
  2. Step 2: Convert to fraction form
    214,452/453,096 = 453,096/x
  3. Step 3: Cross multiply
    214,452x = 453,096 × 453,096
  4. Step 4: Simplify right side
    214,452x = 205,295,985,216
  5. Step 5: Solve for x
    x = 205,295,985,216/214,452
  6. Step 6: Final answer
    x = 957,305.06

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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.