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Finding the Third Proportional to 290,606 and 436,199

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Solution

The third proportional to 290,606 and 436,199 is: 654,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,606 : 436,199 = 436,199 : x
  2. Step 2: Convert to fraction form
    290,606/436,199 = 436,199/x
  3. Step 3: Cross multiply
    290,606x = 436,199 × 436,199
  4. Step 4: Simplify right side
    290,606x = 190,269,567,601
  5. Step 5: Solve for x
    x = 190,269,567,601/290,606
  6. Step 6: Final answer
    x = 654,733.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.