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Finding the Third Proportional to 266,296 and 552,249

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Solution

The third proportional to 266,296 and 552,249 is: 1,145,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,296 : 552,249 = 552,249 : x
  2. Step 2: Convert to fraction form
    266,296/552,249 = 552,249/x
  3. Step 3: Cross multiply
    266,296x = 552,249 × 552,249
  4. Step 4: Simplify right side
    266,296x = 304,978,958,001
  5. Step 5: Solve for x
    x = 304,978,958,001/266,296
  6. Step 6: Final answer
    x = 1,145,263.01

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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.