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Finding the Third Proportional to 262,424 and 543,512

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Solution

The third proportional to 262,424 and 543,512 is: 1,125,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,424 : 543,512 = 543,512 : x
  2. Step 2: Convert to fraction form
    262,424/543,512 = 543,512/x
  3. Step 3: Cross multiply
    262,424x = 543,512 × 543,512
  4. Step 4: Simplify right side
    262,424x = 295,405,294,144
  5. Step 5: Solve for x
    x = 295,405,294,144/262,424
  6. Step 6: Final answer
    x = 1,125,679.41

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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.