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Finding the Third Proportional to 196,922 and 431,965

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Solution

The third proportional to 196,922 and 431,965 is: 947,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,922 : 431,965 = 431,965 : x
  2. Step 2: Convert to fraction form
    196,922/431,965 = 431,965/x
  3. Step 3: Cross multiply
    196,922x = 431,965 × 431,965
  4. Step 4: Simplify right side
    196,922x = 186,593,761,225
  5. Step 5: Solve for x
    x = 186,593,761,225/196,922
  6. Step 6: Final answer
    x = 947,551.63

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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.