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Finding the Third Proportional to 271,667 and 590,001

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Solution

The third proportional to 271,667 and 590,001 is: 1,281,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,667 : 590,001 = 590,001 : x
  2. Step 2: Convert to fraction form
    271,667/590,001 = 590,001/x
  3. Step 3: Cross multiply
    271,667x = 590,001 × 590,001
  4. Step 4: Simplify right side
    271,667x = 348,101,180,001
  5. Step 5: Solve for x
    x = 348,101,180,001/271,667
  6. Step 6: Final answer
    x = 1,281,352.46

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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.