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Finding the Third Proportional to 271,952 and 589,096

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Solution

The third proportional to 271,952 and 589,096 is: 1,276,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,952 : 589,096 = 589,096 : x
  2. Step 2: Convert to fraction form
    271,952/589,096 = 589,096/x
  3. Step 3: Cross multiply
    271,952x = 589,096 × 589,096
  4. Step 4: Simplify right side
    271,952x = 347,034,097,216
  5. Step 5: Solve for x
    x = 347,034,097,216/271,952
  6. Step 6: Final answer
    x = 1,276,085.84

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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.