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Finding the Third Proportional to 271,194 and 589,956

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Solution

The third proportional to 271,194 and 589,956 is: 1,283,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,194 : 589,956 = 589,956 : x
  2. Step 2: Convert to fraction form
    271,194/589,956 = 589,956/x
  3. Step 3: Cross multiply
    271,194x = 589,956 × 589,956
  4. Step 4: Simplify right side
    271,194x = 348,048,081,936
  5. Step 5: Solve for x
    x = 348,048,081,936/271,194
  6. Step 6: Final answer
    x = 1,283,391.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.