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Finding the Third Proportional to 214,441 and 458,331

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Solution

The third proportional to 214,441 and 458,331 is: 979,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,441 : 458,331 = 458,331 : x
  2. Step 2: Convert to fraction form
    214,441/458,331 = 458,331/x
  3. Step 3: Cross multiply
    214,441x = 458,331 × 458,331
  4. Step 4: Simplify right side
    214,441x = 210,067,305,561
  5. Step 5: Solve for x
    x = 210,067,305,561/214,441
  6. Step 6: Final answer
    x = 979,604.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.