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Finding the Third Proportional to 244,665 and 518,732

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Solution

The third proportional to 244,665 and 518,732 is: 1,099,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,665 : 518,732 = 518,732 : x
  2. Step 2: Convert to fraction form
    244,665/518,732 = 518,732/x
  3. Step 3: Cross multiply
    244,665x = 518,732 × 518,732
  4. Step 4: Simplify right side
    244,665x = 269,082,887,824
  5. Step 5: Solve for x
    x = 269,082,887,824/244,665
  6. Step 6: Final answer
    x = 1,099,801.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.