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Finding the Third Proportional to 306,201 and 664,980

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Solution

The third proportional to 306,201 and 664,980 is: 1,444,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,201 : 664,980 = 664,980 : x
  2. Step 2: Convert to fraction form
    306,201/664,980 = 664,980/x
  3. Step 3: Cross multiply
    306,201x = 664,980 × 664,980
  4. Step 4: Simplify right side
    306,201x = 442,198,400,400
  5. Step 5: Solve for x
    x = 442,198,400,400/306,201
  6. Step 6: Final answer
    x = 1,444,144.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.