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Finding the Third Proportional to 271,944 and 589,086

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Solution

The third proportional to 271,944 and 589,086 is: 1,276,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,944 : 589,086 = 589,086 : x
  2. Step 2: Convert to fraction form
    271,944/589,086 = 589,086/x
  3. Step 3: Cross multiply
    271,944x = 589,086 × 589,086
  4. Step 4: Simplify right side
    271,944x = 347,022,315,396
  5. Step 5: Solve for x
    x = 347,022,315,396/271,944
  6. Step 6: Final answer
    x = 1,276,080.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.