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Finding the Third Proportional to 301,733.63 and 628,269.75

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Solution

The third proportional to 301,733.63 and 628,269.75 is: 1,308,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,733.63 : 628,269.75 = 628,269.75 : x
  2. Step 2: Convert to fraction form
    301,733.63/628,269.75 = 628,269.75/x
  3. Step 3: Cross multiply
    301,733.63x = 628,269.75 × 628,269.75
  4. Step 4: Simplify right side
    301,733.63x = 394,722,878,765.06
  5. Step 5: Solve for x
    x = 394,722,878,765.06/301,733.63
  6. Step 6: Final answer
    x = 1,308,183.27

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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.