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Finding the Third Proportional to 271,918.69 and 583,183.13

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Solution

The third proportional to 271,918.69 and 583,183.13 is: 1,250,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,918.69 : 583,183.13 = 583,183.13 : x
  2. Step 2: Convert to fraction form
    271,918.69/583,183.13 = 583,183.13/x
  3. Step 3: Cross multiply
    271,918.69x = 583,183.13 × 583,183.13
  4. Step 4: Simplify right side
    271,918.69x = 340,102,557,284.77
  5. Step 5: Solve for x
    x = 340,102,557,284.77/271,918.69
  6. Step 6: Final answer
    x = 1,250,750.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.