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Finding the Third Proportional to 267,240 and 588,048

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Solution

The third proportional to 267,240 and 588,048 is: 1,293,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,240 : 588,048 = 588,048 : x
  2. Step 2: Convert to fraction form
    267,240/588,048 = 588,048/x
  3. Step 3: Cross multiply
    267,240x = 588,048 × 588,048
  4. Step 4: Simplify right side
    267,240x = 345,800,450,304
  5. Step 5: Solve for x
    x = 345,800,450,304/267,240
  6. Step 6: Final answer
    x = 1,293,969.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.