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Finding the Third Proportional to 273,078 and 590,868

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Solution

The third proportional to 273,078 and 590,868 is: 1,278,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,078 : 590,868 = 590,868 : x
  2. Step 2: Convert to fraction form
    273,078/590,868 = 590,868/x
  3. Step 3: Cross multiply
    273,078x = 590,868 × 590,868
  4. Step 4: Simplify right side
    273,078x = 349,124,993,424
  5. Step 5: Solve for x
    x = 349,124,993,424/273,078
  6. Step 6: Final answer
    x = 1,278,480.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.