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Finding the Third Proportional to 264,832 and 543,616

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Solution

The third proportional to 264,832 and 543,616 is: 1,115,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,832 : 543,616 = 543,616 : x
  2. Step 2: Convert to fraction form
    264,832/543,616 = 543,616/x
  3. Step 3: Cross multiply
    264,832x = 543,616 × 543,616
  4. Step 4: Simplify right side
    264,832x = 295,518,355,456
  5. Step 5: Solve for x
    x = 295,518,355,456/264,832
  6. Step 6: Final answer
    x = 1,115,871.03

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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.