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Finding the Third Proportional to 263,608.75 and 545,908.75

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Solution

The third proportional to 263,608.75 and 545,908.75 is: 1,130,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,608.75 : 545,908.75 = 545,908.75 : x
  2. Step 2: Convert to fraction form
    263,608.75/545,908.75 = 545,908.75/x
  3. Step 3: Cross multiply
    263,608.75x = 545,908.75 × 545,908.75
  4. Step 4: Simplify right side
    263,608.75x = 298,016,363,326.56
  5. Step 5: Solve for x
    x = 298,016,363,326.56/263,608.75
  6. Step 6: Final answer
    x = 1,130,525.31

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Why These Related Problems?

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