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Finding the Third Proportional to 271,472 and 584,568

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Solution

The third proportional to 271,472 and 584,568 is: 1,258,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,472 : 584,568 = 584,568 : x
  2. Step 2: Convert to fraction form
    271,472/584,568 = 584,568/x
  3. Step 3: Cross multiply
    271,472x = 584,568 × 584,568
  4. Step 4: Simplify right side
    271,472x = 341,719,746,624
  5. Step 5: Solve for x
    x = 341,719,746,624/271,472
  6. Step 6: Final answer
    x = 1,258,766.08

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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.