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Finding the Third Proportional to 271,461 and 591,114

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Solution

The third proportional to 271,461 and 591,114 is: 1,287,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,461 : 591,114 = 591,114 : x
  2. Step 2: Convert to fraction form
    271,461/591,114 = 591,114/x
  3. Step 3: Cross multiply
    271,461x = 591,114 × 591,114
  4. Step 4: Simplify right side
    271,461x = 349,415,760,996
  5. Step 5: Solve for x
    x = 349,415,760,996/271,461
  6. Step 6: Final answer
    x = 1,287,167.44

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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.