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Finding the Third Proportional to 282,344 and 605,616

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Solution

The third proportional to 282,344 and 605,616 is: 1,299,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,344 : 605,616 = 605,616 : x
  2. Step 2: Convert to fraction form
    282,344/605,616 = 605,616/x
  3. Step 3: Cross multiply
    282,344x = 605,616 × 605,616
  4. Step 4: Simplify right side
    282,344x = 366,770,739,456
  5. Step 5: Solve for x
    x = 366,770,739,456/282,344
  6. Step 6: Final answer
    x = 1,299,020.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.