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Finding the Third Proportional to 301,734 and 628,270.50

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Solution

The third proportional to 301,734 and 628,270.50 is: 1,308,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,734 : 628,270.50 = 628,270.50 : x
  2. Step 2: Convert to fraction form
    301,734/628,270.50 = 628,270.50/x
  3. Step 3: Cross multiply
    301,734x = 628,270.50 × 628,270.50
  4. Step 4: Simplify right side
    301,734x = 394,723,821,170.25
  5. Step 5: Solve for x
    x = 394,723,821,170.25/301,734
  6. Step 6: Final answer
    x = 1,308,184.76

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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.