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Finding the Third Proportional to 214,447 and 458,343

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Solution

The third proportional to 214,447 and 458,343 is: 979,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,447 : 458,343 = 458,343 : x
  2. Step 2: Convert to fraction form
    214,447/458,343 = 458,343/x
  3. Step 3: Cross multiply
    214,447x = 458,343 × 458,343
  4. Step 4: Simplify right side
    214,447x = 210,078,305,649
  5. Step 5: Solve for x
    x = 210,078,305,649/214,447
  6. Step 6: Final answer
    x = 979,628.09

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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.