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Finding the Third Proportional to 262,926 and 567,234

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Solution

The third proportional to 262,926 and 567,234 is: 1,223,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,926 : 567,234 = 567,234 : x
  2. Step 2: Convert to fraction form
    262,926/567,234 = 567,234/x
  3. Step 3: Cross multiply
    262,926x = 567,234 × 567,234
  4. Step 4: Simplify right side
    262,926x = 321,754,410,756
  5. Step 5: Solve for x
    x = 321,754,410,756/262,926
  6. Step 6: Final answer
    x = 1,223,745.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.