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Finding the Third Proportional to 262,406 and 543,483

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Solution

The third proportional to 262,406 and 543,483 is: 1,125,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,406 : 543,483 = 543,483 : x
  2. Step 2: Convert to fraction form
    262,406/543,483 = 543,483/x
  3. Step 3: Cross multiply
    262,406x = 543,483 × 543,483
  4. Step 4: Simplify right side
    262,406x = 295,373,771,289
  5. Step 5: Solve for x
    x = 295,373,771,289/262,406
  6. Step 6: Final answer
    x = 1,125,636.50

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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.