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Finding the Third Proportional to 271,456 and 591,104

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Solution

The third proportional to 271,456 and 591,104 is: 1,287,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,456 : 591,104 = 591,104 : x
  2. Step 2: Convert to fraction form
    271,456/591,104 = 591,104/x
  3. Step 3: Cross multiply
    271,456x = 591,104 × 591,104
  4. Step 4: Simplify right side
    271,456x = 349,403,938,816
  5. Step 5: Solve for x
    x = 349,403,938,816/271,456
  6. Step 6: Final answer
    x = 1,287,147.60

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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.