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Finding the Third Proportional to 271,721.25 and 590,118.75

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Solution

The third proportional to 271,721.25 and 590,118.75 is: 1,281,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,721.25 : 590,118.75 = 590,118.75 : x
  2. Step 2: Convert to fraction form
    271,721.25/590,118.75 = 590,118.75/x
  3. Step 3: Cross multiply
    271,721.25x = 590,118.75 × 590,118.75
  4. Step 4: Simplify right side
    271,721.25x = 348,240,139,101.56
  5. Step 5: Solve for x
    x = 348,240,139,101.56/271,721.25
  6. Step 6: Final answer
    x = 1,281,608.04

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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.