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Finding the Third Proportional to 271,599 and 591,774

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Solution

The third proportional to 271,599 and 591,774 is: 1,289,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,599 : 591,774 = 591,774 : x
  2. Step 2: Convert to fraction form
    271,599/591,774 = 591,774/x
  3. Step 3: Cross multiply
    271,599x = 591,774 × 591,774
  4. Step 4: Simplify right side
    271,599x = 350,196,467,076
  5. Step 5: Solve for x
    x = 350,196,467,076/271,599
  6. Step 6: Final answer
    x = 1,289,387.91

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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.