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Finding the Third Proportional to 289,936 and 599,761

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Solution

The third proportional to 289,936 and 599,761 is: 1,240,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,936 : 599,761 = 599,761 : x
  2. Step 2: Convert to fraction form
    289,936/599,761 = 599,761/x
  3. Step 3: Cross multiply
    289,936x = 599,761 × 599,761
  4. Step 4: Simplify right side
    289,936x = 359,713,257,121
  5. Step 5: Solve for x
    x = 359,713,257,121/289,936
  6. Step 6: Final answer
    x = 1,240,664.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.