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Finding the Third Proportional to 196,812 and 431,450

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Solution

The third proportional to 196,812 and 431,450 is: 945,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,812 : 431,450 = 431,450 : x
  2. Step 2: Convert to fraction form
    196,812/431,450 = 431,450/x
  3. Step 3: Cross multiply
    196,812x = 431,450 × 431,450
  4. Step 4: Simplify right side
    196,812x = 186,149,102,500
  5. Step 5: Solve for x
    x = 186,149,102,500/196,812
  6. Step 6: Final answer
    x = 945,821.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.