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Finding the Third Proportional to 271,478 and 584,575

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Solution

The third proportional to 271,478 and 584,575 is: 1,258,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,478 : 584,575 = 584,575 : x
  2. Step 2: Convert to fraction form
    271,478/584,575 = 584,575/x
  3. Step 3: Cross multiply
    271,478x = 584,575 × 584,575
  4. Step 4: Simplify right side
    271,478x = 341,727,930,625
  5. Step 5: Solve for x
    x = 341,727,930,625/271,478
  6. Step 6: Final answer
    x = 1,258,768.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.