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Finding the Third Proportional to 212,082.75 and 454,524.38

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Solution

The third proportional to 212,082.75 and 454,524.38 is: 974,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082.75 : 454,524.38 = 454,524.38 : x
  2. Step 2: Convert to fraction form
    212,082.75/454,524.38 = 454,524.38/x
  3. Step 3: Cross multiply
    212,082.75x = 454,524.38 × 454,524.38
  4. Step 4: Simplify right side
    212,082.75x = 206,592,407,469.14
  5. Step 5: Solve for x
    x = 206,592,407,469.14/212,082.75
  6. Step 6: Final answer
    x = 974,112.26

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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.