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Finding the Third Proportional to 197,512 and 465,963

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Solution

The third proportional to 197,512 and 465,963 is: 1,099,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,512 : 465,963 = 465,963 : x
  2. Step 2: Convert to fraction form
    197,512/465,963 = 465,963/x
  3. Step 3: Cross multiply
    197,512x = 465,963 × 465,963
  4. Step 4: Simplify right side
    197,512x = 217,121,517,369
  5. Step 5: Solve for x
    x = 217,121,517,369/197,512
  6. Step 6: Final answer
    x = 1,099,282.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.