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Finding the Third Proportional to 271,275 and 589,251

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Solution

The third proportional to 271,275 and 589,251 is: 1,279,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,275 : 589,251 = 589,251 : x
  2. Step 2: Convert to fraction form
    271,275/589,251 = 589,251/x
  3. Step 3: Cross multiply
    271,275x = 589,251 × 589,251
  4. Step 4: Simplify right side
    271,275x = 347,216,741,001
  5. Step 5: Solve for x
    x = 347,216,741,001/271,275
  6. Step 6: Final answer
    x = 1,279,943.75

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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.