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Finding the Third Proportional to 196,569 and 462,079

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Solution

The third proportional to 196,569 and 462,079 is: 1,086,219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,569 : 462,079 = 462,079 : x
  2. Step 2: Convert to fraction form
    196,569/462,079 = 462,079/x
  3. Step 3: Cross multiply
    196,569x = 462,079 × 462,079
  4. Step 4: Simplify right side
    196,569x = 213,517,002,241
  5. Step 5: Solve for x
    x = 213,517,002,241/196,569
  6. Step 6: Final answer
    x = 1,086,219.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.