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Finding the Third Proportional to 263,991 and 540,284

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Solution

The third proportional to 263,991 and 540,284 is: 1,105,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,991 : 540,284 = 540,284 : x
  2. Step 2: Convert to fraction form
    263,991/540,284 = 540,284/x
  3. Step 3: Cross multiply
    263,991x = 540,284 × 540,284
  4. Step 4: Simplify right side
    263,991x = 291,906,800,656
  5. Step 5: Solve for x
    x = 291,906,800,656/263,991
  6. Step 6: Final answer
    x = 1,105,745.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.