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Finding the Third Proportional to 481,682.25 and 750,093.75

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Solution

The third proportional to 481,682.25 and 750,093.75 is: 1,168,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,682.25 : 750,093.75 = 750,093.75 : x
  2. Step 2: Convert to fraction form
    481,682.25/750,093.75 = 750,093.75/x
  3. Step 3: Cross multiply
    481,682.25x = 750,093.75 × 750,093.75
  4. Step 4: Simplify right side
    481,682.25x = 562,640,633,789.06
  5. Step 5: Solve for x
    x = 562,640,633,789.06/481,682.25
  6. Step 6: Final answer
    x = 1,168,074.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.