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Finding the Third Proportional to 263,310.75 and 557,995.50

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Solution

The third proportional to 263,310.75 and 557,995.50 is: 1,182,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,310.75 : 557,995.50 = 557,995.50 : x
  2. Step 2: Convert to fraction form
    263,310.75/557,995.50 = 557,995.50/x
  3. Step 3: Cross multiply
    263,310.75x = 557,995.50 × 557,995.50
  4. Step 4: Simplify right side
    263,310.75x = 311,358,978,020.25
  5. Step 5: Solve for x
    x = 311,358,978,020.25/263,310.75
  6. Step 6: Final answer
    x = 1,182,477.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.