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Finding the Third Proportional to 214,322 and 458,170

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Solution

The third proportional to 214,322 and 458,170 is: 979,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,322 : 458,170 = 458,170 : x
  2. Step 2: Convert to fraction form
    214,322/458,170 = 458,170/x
  3. Step 3: Cross multiply
    214,322x = 458,170 × 458,170
  4. Step 4: Simplify right side
    214,322x = 209,919,748,900
  5. Step 5: Solve for x
    x = 209,919,748,900/214,322
  6. Step 6: Final answer
    x = 979,459.64

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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.