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Finding the Third Proportional to 397,204 and 588,088

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Solution

The third proportional to 397,204 and 588,088 is: 870,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,204 : 588,088 = 588,088 : x
  2. Step 2: Convert to fraction form
    397,204/588,088 = 588,088/x
  3. Step 3: Cross multiply
    397,204x = 588,088 × 588,088
  4. Step 4: Simplify right side
    397,204x = 345,847,495,744
  5. Step 5: Solve for x
    x = 345,847,495,744/397,204
  6. Step 6: Final answer
    x = 870,704.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.