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Finding the Third Proportional to 269,286 and 567,732

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Solution

The third proportional to 269,286 and 567,732 is: 1,196,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,286 : 567,732 = 567,732 : x
  2. Step 2: Convert to fraction form
    269,286/567,732 = 567,732/x
  3. Step 3: Cross multiply
    269,286x = 567,732 × 567,732
  4. Step 4: Simplify right side
    269,286x = 322,319,623,824
  5. Step 5: Solve for x
    x = 322,319,623,824/269,286
  6. Step 6: Final answer
    x = 1,196,941.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.