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Finding the Third Proportional to 262,392.75 and 543,455.25

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Solution

The third proportional to 262,392.75 and 543,455.25 is: 1,125,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,392.75 : 543,455.25 = 543,455.25 : x
  2. Step 2: Convert to fraction form
    262,392.75/543,455.25 = 543,455.25/x
  3. Step 3: Cross multiply
    262,392.75x = 543,455.25 × 543,455.25
  4. Step 4: Simplify right side
    262,392.75x = 295,343,608,752.56
  5. Step 5: Solve for x
    x = 295,343,608,752.56/262,392.75
  6. Step 6: Final answer
    x = 1,125,578.39

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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.