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Finding the Third Proportional to 271,494 and 584,608

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Solution

The third proportional to 271,494 and 584,608 is: 1,258,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,494 : 584,608 = 584,608 : x
  2. Step 2: Convert to fraction form
    271,494/584,608 = 584,608/x
  3. Step 3: Cross multiply
    271,494x = 584,608 × 584,608
  4. Step 4: Simplify right side
    271,494x = 341,766,513,664
  5. Step 5: Solve for x
    x = 341,766,513,664/271,494
  6. Step 6: Final answer
    x = 1,258,836.34

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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.