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Finding the Third Proportional to 263,047.50 and 567,141.75

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Solution

The third proportional to 263,047.50 and 567,141.75 is: 1,222,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,047.50 : 567,141.75 = 567,141.75 : x
  2. Step 2: Convert to fraction form
    263,047.50/567,141.75 = 567,141.75/x
  3. Step 3: Cross multiply
    263,047.50x = 567,141.75 × 567,141.75
  4. Step 4: Simplify right side
    263,047.50x = 321,649,764,593.06
  5. Step 5: Solve for x
    x = 321,649,764,593.06/263,047.50
  6. Step 6: Final answer
    x = 1,222,782.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.