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Finding the Third Proportional to 214,977.38 and 455,581.13

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Solution

The third proportional to 214,977.38 and 455,581.13 is: 965,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,977.38 : 455,581.13 = 455,581.13 : x
  2. Step 2: Convert to fraction form
    214,977.38/455,581.13 = 455,581.13/x
  3. Step 3: Cross multiply
    214,977.38x = 455,581.13 × 455,581.13
  4. Step 4: Simplify right side
    214,977.38x = 207,554,161,456.27
  5. Step 5: Solve for x
    x = 207,554,161,456.27/214,977.38
  6. Step 6: Final answer
    x = 965,469.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.