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Finding the Third Proportional to 279,792 and 599,112

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Solution

The third proportional to 279,792 and 599,112 is: 1,282,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,792 : 599,112 = 599,112 : x
  2. Step 2: Convert to fraction form
    279,792/599,112 = 599,112/x
  3. Step 3: Cross multiply
    279,792x = 599,112 × 599,112
  4. Step 4: Simplify right side
    279,792x = 358,935,188,544
  5. Step 5: Solve for x
    x = 358,935,188,544/279,792
  6. Step 6: Final answer
    x = 1,282,864.37

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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.