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Finding the Third Proportional to 231,669 and 474,626

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Solution

The third proportional to 231,669 and 474,626 is: 972,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,669 : 474,626 = 474,626 : x
  2. Step 2: Convert to fraction form
    231,669/474,626 = 474,626/x
  3. Step 3: Cross multiply
    231,669x = 474,626 × 474,626
  4. Step 4: Simplify right side
    231,669x = 225,269,839,876
  5. Step 5: Solve for x
    x = 225,269,839,876/231,669
  6. Step 6: Final answer
    x = 972,378.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.