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Finding the Third Proportional to 301,768.50 and 628,323

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Solution

The third proportional to 301,768.50 and 628,323 is: 1,308,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,768.50 : 628,323 = 628,323 : x
  2. Step 2: Convert to fraction form
    301,768.50/628,323 = 628,323/x
  3. Step 3: Cross multiply
    301,768.50x = 628,323 × 628,323
  4. Step 4: Simplify right side
    301,768.50x = 394,789,792,329
  5. Step 5: Solve for x
    x = 394,789,792,329/301,768.50
  6. Step 6: Final answer
    x = 1,308,253.82

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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.