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Finding the Third Proportional to 214,186 and 452,484

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Solution

The third proportional to 214,186 and 452,484 is: 955,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,186 : 452,484 = 452,484 : x
  2. Step 2: Convert to fraction form
    214,186/452,484 = 452,484/x
  3. Step 3: Cross multiply
    214,186x = 452,484 × 452,484
  4. Step 4: Simplify right side
    214,186x = 204,741,770,256
  5. Step 5: Solve for x
    x = 204,741,770,256/214,186
  6. Step 6: Final answer
    x = 955,906.41

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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.