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Finding the Third Proportional to 271,372 and 591,011

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Solution

The third proportional to 271,372 and 591,011 is: 1,287,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,372 : 591,011 = 591,011 : x
  2. Step 2: Convert to fraction form
    271,372/591,011 = 591,011/x
  3. Step 3: Cross multiply
    271,372x = 591,011 × 591,011
  4. Step 4: Simplify right side
    271,372x = 349,294,002,121
  5. Step 5: Solve for x
    x = 349,294,002,121/271,372
  6. Step 6: Final answer
    x = 1,287,140.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.