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Finding the Third Proportional to 212,992.50 and 454,401

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Solution

The third proportional to 212,992.50 and 454,401 is: 969,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,992.50 : 454,401 = 454,401 : x
  2. Step 2: Convert to fraction form
    212,992.50/454,401 = 454,401/x
  3. Step 3: Cross multiply
    212,992.50x = 454,401 × 454,401
  4. Step 4: Simplify right side
    212,992.50x = 206,480,268,801
  5. Step 5: Solve for x
    x = 206,480,268,801/212,992.50
  6. Step 6: Final answer
    x = 969,425.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.