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Finding the Third Proportional to 267,192 and 560,304

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Solution

The third proportional to 267,192 and 560,304 is: 1,174,962.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,192 : 560,304 = 560,304 : x
  2. Step 2: Convert to fraction form
    267,192/560,304 = 560,304/x
  3. Step 3: Cross multiply
    267,192x = 560,304 × 560,304
  4. Step 4: Simplify right side
    267,192x = 313,940,572,416
  5. Step 5: Solve for x
    x = 313,940,572,416/267,192
  6. Step 6: Final answer
    x = 1,174,962.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.