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Finding the Third Proportional to 260,750.88 and 541,485.75

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Solution

The third proportional to 260,750.88 and 541,485.75 is: 1,124,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,750.88 : 541,485.75 = 541,485.75 : x
  2. Step 2: Convert to fraction form
    260,750.88/541,485.75 = 541,485.75/x
  3. Step 3: Cross multiply
    260,750.88x = 541,485.75 × 541,485.75
  4. Step 4: Simplify right side
    260,750.88x = 293,206,817,453.06
  5. Step 5: Solve for x
    x = 293,206,817,453.06/260,750.88
  6. Step 6: Final answer
    x = 1,124,471.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.