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Finding the Third Proportional to 397,201.50 and 588,084.75

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Solution

The third proportional to 397,201.50 and 588,084.75 is: 870,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,201.50 : 588,084.75 = 588,084.75 : x
  2. Step 2: Convert to fraction form
    397,201.50/588,084.75 = 588,084.75/x
  3. Step 3: Cross multiply
    397,201.50x = 588,084.75 × 588,084.75
  4. Step 4: Simplify right side
    397,201.50x = 345,843,673,182.56
  5. Step 5: Solve for x
    x = 345,843,673,182.56/397,201.50
  6. Step 6: Final answer
    x = 870,700.82

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