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Finding the Third Proportional to 397,266.19 and 588,173.06

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Solution

The third proportional to 397,266.19 and 588,173.06 is: 870,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,266.19 : 588,173.06 = 588,173.06 : x
  2. Step 2: Convert to fraction form
    397,266.19/588,173.06 = 588,173.06/x
  3. Step 3: Cross multiply
    397,266.19x = 588,173.06 × 588,173.06
  4. Step 4: Simplify right side
    397,266.19x = 345,947,551,450.63
  5. Step 5: Solve for x
    x = 345,947,551,450.63/397,266.19
  6. Step 6: Final answer
    x = 870,820.53

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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.