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Finding the Third Proportional to 238,954 and 372,947

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Solution

The third proportional to 238,954 and 372,947 is: 582,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,954 : 372,947 = 372,947 : x
  2. Step 2: Convert to fraction form
    238,954/372,947 = 372,947/x
  3. Step 3: Cross multiply
    238,954x = 372,947 × 372,947
  4. Step 4: Simplify right side
    238,954x = 139,089,464,809
  5. Step 5: Solve for x
    x = 139,089,464,809/238,954
  6. Step 6: Final answer
    x = 582,076.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.