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Finding the Third Proportional to 232,743 and 543,911

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Solution

The third proportional to 232,743 and 543,911 is: 1,271,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,743 : 543,911 = 543,911 : x
  2. Step 2: Convert to fraction form
    232,743/543,911 = 543,911/x
  3. Step 3: Cross multiply
    232,743x = 543,911 × 543,911
  4. Step 4: Simplify right side
    232,743x = 295,839,175,921
  5. Step 5: Solve for x
    x = 295,839,175,921/232,743
  6. Step 6: Final answer
    x = 1,271,098.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.