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Finding the Third Proportional to 463,212 and 694,818

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Solution

The third proportional to 463,212 and 694,818 is: 1,042,227

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,212 : 694,818 = 694,818 : x
  2. Step 2: Convert to fraction form
    463,212/694,818 = 694,818/x
  3. Step 3: Cross multiply
    463,212x = 694,818 × 694,818
  4. Step 4: Simplify right side
    463,212x = 482,772,053,124
  5. Step 5: Solve for x
    x = 482,772,053,124/463,212
  6. Step 6: Final answer
    x = 1,042,227

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.