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Finding the Third Proportional to 214,770 and 485,233

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Solution

The third proportional to 214,770 and 485,233 is: 1,096,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,770 : 485,233 = 485,233 : x
  2. Step 2: Convert to fraction form
    214,770/485,233 = 485,233/x
  3. Step 3: Cross multiply
    214,770x = 485,233 × 485,233
  4. Step 4: Simplify right side
    214,770x = 235,451,064,289
  5. Step 5: Solve for x
    x = 235,451,064,289/214,770
  6. Step 6: Final answer
    x = 1,096,294.01

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.