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Finding the Third Proportional to 301,738.50 and 628,278

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Solution

The third proportional to 301,738.50 and 628,278 is: 1,308,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,738.50 : 628,278 = 628,278 : x
  2. Step 2: Convert to fraction form
    301,738.50/628,278 = 628,278/x
  3. Step 3: Cross multiply
    301,738.50x = 628,278 × 628,278
  4. Step 4: Simplify right side
    301,738.50x = 394,733,245,284
  5. Step 5: Solve for x
    x = 394,733,245,284/301,738.50
  6. Step 6: Final answer
    x = 1,308,196.49

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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.