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Finding the Third Proportional to 214,323 and 458,172

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Solution

The third proportional to 214,323 and 458,172 is: 979,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,323 : 458,172 = 458,172 : x
  2. Step 2: Convert to fraction form
    214,323/458,172 = 458,172/x
  3. Step 3: Cross multiply
    214,323x = 458,172 × 458,172
  4. Step 4: Simplify right side
    214,323x = 209,921,581,584
  5. Step 5: Solve for x
    x = 209,921,581,584/214,323
  6. Step 6: Final answer
    x = 979,463.62

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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.