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Finding the Third Proportional to 271,926 and 589,050

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Solution

The third proportional to 271,926 and 589,050 is: 1,276,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,926 : 589,050 = 589,050 : x
  2. Step 2: Convert to fraction form
    271,926/589,050 = 589,050/x
  3. Step 3: Cross multiply
    271,926x = 589,050 × 589,050
  4. Step 4: Simplify right side
    271,926x = 346,979,902,500
  5. Step 5: Solve for x
    x = 346,979,902,500/271,926
  6. Step 6: Final answer
    x = 1,276,008.56

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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.