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Finding the Third Proportional to 214,791 and 324,900

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Solution

The third proportional to 214,791 and 324,900 is: 491,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,791 : 324,900 = 324,900 : x
  2. Step 2: Convert to fraction form
    214,791/324,900 = 324,900/x
  3. Step 3: Cross multiply
    214,791x = 324,900 × 324,900
  4. Step 4: Simplify right side
    214,791x = 105,560,010,000
  5. Step 5: Solve for x
    x = 105,560,010,000/214,791
  6. Step 6: Final answer
    x = 491,454.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.