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Finding the Third Proportional to 196,812 and 423,756

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Solution

The third proportional to 196,812 and 423,756 is: 912,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,812 : 423,756 = 423,756 : x
  2. Step 2: Convert to fraction form
    196,812/423,756 = 423,756/x
  3. Step 3: Cross multiply
    196,812x = 423,756 × 423,756
  4. Step 4: Simplify right side
    196,812x = 179,569,147,536
  5. Step 5: Solve for x
    x = 179,569,147,536/196,812
  6. Step 6: Final answer
    x = 912,389.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.