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Finding the Third Proportional to 214,745 and 457,927

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Solution

The third proportional to 214,745 and 457,927 is: 976,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,745 : 457,927 = 457,927 : x
  2. Step 2: Convert to fraction form
    214,745/457,927 = 457,927/x
  3. Step 3: Cross multiply
    214,745x = 457,927 × 457,927
  4. Step 4: Simplify right side
    214,745x = 209,697,137,329
  5. Step 5: Solve for x
    x = 209,697,137,329/214,745
  6. Step 6: Final answer
    x = 976,493.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.