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Finding the Third Proportional to 241,845.75 and 512,503.50

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Solution

The third proportional to 241,845.75 and 512,503.50 is: 1,086,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,845.75 : 512,503.50 = 512,503.50 : x
  2. Step 2: Convert to fraction form
    241,845.75/512,503.50 = 512,503.50/x
  3. Step 3: Cross multiply
    241,845.75x = 512,503.50 × 512,503.50
  4. Step 4: Simplify right side
    241,845.75x = 262,659,837,512.25
  5. Step 5: Solve for x
    x = 262,659,837,512.25/241,845.75
  6. Step 6: Final answer
    x = 1,086,063.48

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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.