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Finding the Third Proportional to 271,471 and 584,564

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Solution

The third proportional to 271,471 and 584,564 is: 1,258,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,471 : 584,564 = 584,564 : x
  2. Step 2: Convert to fraction form
    271,471/584,564 = 584,564/x
  3. Step 3: Cross multiply
    271,471x = 584,564 × 584,564
  4. Step 4: Simplify right side
    271,471x = 341,715,070,096
  5. Step 5: Solve for x
    x = 341,715,070,096/271,471
  6. Step 6: Final answer
    x = 1,258,753.50

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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.