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Finding the Third Proportional to 401,608.50 and 844,635

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Solution

The third proportional to 401,608.50 and 844,635 is: 1,776,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,608.50 : 844,635 = 844,635 : x
  2. Step 2: Convert to fraction form
    401,608.50/844,635 = 844,635/x
  3. Step 3: Cross multiply
    401,608.50x = 844,635 × 844,635
  4. Step 4: Simplify right side
    401,608.50x = 713,408,283,225
  5. Step 5: Solve for x
    x = 713,408,283,225/401,608.50
  6. Step 6: Final answer
    x = 1,776,377.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.