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Finding the Third Proportional to 214,625 and 423,845

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Solution

The third proportional to 214,625 and 423,845 is: 837,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,625 : 423,845 = 423,845 : x
  2. Step 2: Convert to fraction form
    214,625/423,845 = 423,845/x
  3. Step 3: Cross multiply
    214,625x = 423,845 × 423,845
  4. Step 4: Simplify right side
    214,625x = 179,644,584,025
  5. Step 5: Solve for x
    x = 179,644,584,025/214,625
  6. Step 6: Final answer
    x = 837,016.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.