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Finding the Third Proportional to 212,214 and 454,794

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Solution

The third proportional to 212,214 and 454,794 is: 974,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,214 : 454,794 = 454,794 : x
  2. Step 2: Convert to fraction form
    212,214/454,794 = 454,794/x
  3. Step 3: Cross multiply
    212,214x = 454,794 × 454,794
  4. Step 4: Simplify right side
    212,214x = 206,837,582,436
  5. Step 5: Solve for x
    x = 206,837,582,436/212,214
  6. Step 6: Final answer
    x = 974,665.11

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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.