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Finding the Third Proportional to 262,393 and 543,456

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Solution

The third proportional to 262,393 and 543,456 is: 1,125,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,393 : 543,456 = 543,456 : x
  2. Step 2: Convert to fraction form
    262,393/543,456 = 543,456/x
  3. Step 3: Cross multiply
    262,393x = 543,456 × 543,456
  4. Step 4: Simplify right side
    262,393x = 295,344,423,936
  5. Step 5: Solve for x
    x = 295,344,423,936/262,393
  6. Step 6: Final answer
    x = 1,125,580.42

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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.