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Finding the Third Proportional to 266,022 and 550,977.75

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Solution

The third proportional to 266,022 and 550,977.75 is: 1,141,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,022 : 550,977.75 = 550,977.75 : x
  2. Step 2: Convert to fraction form
    266,022/550,977.75 = 550,977.75/x
  3. Step 3: Cross multiply
    266,022x = 550,977.75 × 550,977.75
  4. Step 4: Simplify right side
    266,022x = 303,576,480,995.06
  5. Step 5: Solve for x
    x = 303,576,480,995.06/266,022
  6. Step 6: Final answer
    x = 1,141,170.58

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.