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Finding the Third Proportional to 263,170.50 and 557,733.75

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Solution

The third proportional to 263,170.50 and 557,733.75 is: 1,181,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,170.50 : 557,733.75 = 557,733.75 : x
  2. Step 2: Convert to fraction form
    263,170.50/557,733.75 = 557,733.75/x
  3. Step 3: Cross multiply
    263,170.50x = 557,733.75 × 557,733.75
  4. Step 4: Simplify right side
    263,170.50x = 311,066,935,889.06
  5. Step 5: Solve for x
    x = 311,066,935,889.06/263,170.50
  6. Step 6: Final answer
    x = 1,181,997.74

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Why These Related Problems?

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