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Finding the Third Proportional to 271,550 and 588,298

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Solution

The third proportional to 271,550 and 588,298 is: 1,274,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,550 : 588,298 = 588,298 : x
  2. Step 2: Convert to fraction form
    271,550/588,298 = 588,298/x
  3. Step 3: Cross multiply
    271,550x = 588,298 × 588,298
  4. Step 4: Simplify right side
    271,550x = 346,094,536,804
  5. Step 5: Solve for x
    x = 346,094,536,804/271,550
  6. Step 6: Final answer
    x = 1,274,514.96

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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.