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Finding the Third Proportional to 271,276 and 589,253

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Solution

The third proportional to 271,276 and 589,253 is: 1,279,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,276 : 589,253 = 589,253 : x
  2. Step 2: Convert to fraction form
    271,276/589,253 = 589,253/x
  3. Step 3: Cross multiply
    271,276x = 589,253 × 589,253
  4. Step 4: Simplify right side
    271,276x = 347,219,098,009
  5. Step 5: Solve for x
    x = 347,219,098,009/271,276
  6. Step 6: Final answer
    x = 1,279,947.72

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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.