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Finding the Third Proportional to 301,606 and 628,015

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Solution

The third proportional to 301,606 and 628,015 is: 1,307,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,606 : 628,015 = 628,015 : x
  2. Step 2: Convert to fraction form
    301,606/628,015 = 628,015/x
  3. Step 3: Cross multiply
    301,606x = 628,015 × 628,015
  4. Step 4: Simplify right side
    301,606x = 394,402,840,225
  5. Step 5: Solve for x
    x = 394,402,840,225/301,606
  6. Step 6: Final answer
    x = 1,307,675.71

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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.