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Finding the Third Proportional to 197,010 and 418,626

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Solution

The third proportional to 197,010 and 418,626 is: 889,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,010 : 418,626 = 418,626 : x
  2. Step 2: Convert to fraction form
    197,010/418,626 = 418,626/x
  3. Step 3: Cross multiply
    197,010x = 418,626 × 418,626
  4. Step 4: Simplify right side
    197,010x = 175,247,727,876
  5. Step 5: Solve for x
    x = 175,247,727,876/197,010
  6. Step 6: Final answer
    x = 889,537.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.