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Finding the Third Proportional to 271,010.81 and 588,715.59

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Solution

The third proportional to 271,010.81 and 588,715.59 is: 1,278,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,010.81 : 588,715.59 = 588,715.59 : x
  2. Step 2: Convert to fraction form
    271,010.81/588,715.59 = 588,715.59/x
  3. Step 3: Cross multiply
    271,010.81x = 588,715.59 × 588,715.59
  4. Step 4: Simplify right side
    271,010.81x = 346,586,050,324.42
  5. Step 5: Solve for x
    x = 346,586,050,324.42/271,010.81
  6. Step 6: Final answer
    x = 1,278,864.29

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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.