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Finding the Third Proportional to 264,867 and 543,686

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Solution

The third proportional to 264,867 and 543,686 is: 1,116,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,867 : 543,686 = 543,686 : x
  2. Step 2: Convert to fraction form
    264,867/543,686 = 543,686/x
  3. Step 3: Cross multiply
    264,867x = 543,686 × 543,686
  4. Step 4: Simplify right side
    264,867x = 295,594,466,596
  5. Step 5: Solve for x
    x = 295,594,466,596/264,867
  6. Step 6: Final answer
    x = 1,116,010.93

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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.