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Finding the Third Proportional to 196,976 and 474,899

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Solution

The third proportional to 196,976 and 474,899 is: 1,144,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,976 : 474,899 = 474,899 : x
  2. Step 2: Convert to fraction form
    196,976/474,899 = 474,899/x
  3. Step 3: Cross multiply
    196,976x = 474,899 × 474,899
  4. Step 4: Simplify right side
    196,976x = 225,529,060,201
  5. Step 5: Solve for x
    x = 225,529,060,201/196,976
  6. Step 6: Final answer
    x = 1,144,957.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.