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Finding the Third Proportional to 271,959 and 589,116

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Solution

The third proportional to 271,959 and 589,116 is: 1,276,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,959 : 589,116 = 589,116 : x
  2. Step 2: Convert to fraction form
    271,959/589,116 = 589,116/x
  3. Step 3: Cross multiply
    271,959x = 589,116 × 589,116
  4. Step 4: Simplify right side
    271,959x = 347,057,661,456
  5. Step 5: Solve for x
    x = 347,057,661,456/271,959
  6. Step 6: Final answer
    x = 1,276,139.64

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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.