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Finding the Third Proportional to 277,899.75 and 565,620.75

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Solution

The third proportional to 277,899.75 and 565,620.75 is: 1,151,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,899.75 : 565,620.75 = 565,620.75 : x
  2. Step 2: Convert to fraction form
    277,899.75/565,620.75 = 565,620.75/x
  3. Step 3: Cross multiply
    277,899.75x = 565,620.75 × 565,620.75
  4. Step 4: Simplify right side
    277,899.75x = 319,926,832,830.56
  5. Step 5: Solve for x
    x = 319,926,832,830.56/277,899.75
  6. Step 6: Final answer
    x = 1,151,231.09

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.