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Finding the Third Proportional to 397,203.75 and 588,089.25

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Solution

The third proportional to 397,203.75 and 588,089.25 is: 870,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,203.75 : 588,089.25 = 588,089.25 : x
  2. Step 2: Convert to fraction form
    397,203.75/588,089.25 = 588,089.25/x
  3. Step 3: Cross multiply
    397,203.75x = 588,089.25 × 588,089.25
  4. Step 4: Simplify right side
    397,203.75x = 345,848,965,965.56
  5. Step 5: Solve for x
    x = 345,848,965,965.56/397,203.75
  6. Step 6: Final answer
    x = 870,709.22

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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.