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Finding the Third Proportional to 308,980 and 677,000

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Solution

The third proportional to 308,980 and 677,000 is: 1,483,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,980 : 677,000 = 677,000 : x
  2. Step 2: Convert to fraction form
    308,980/677,000 = 677,000/x
  3. Step 3: Cross multiply
    308,980x = 677,000 × 677,000
  4. Step 4: Simplify right side
    308,980x = 458,329,000,000
  5. Step 5: Solve for x
    x = 458,329,000,000/308,980
  6. Step 6: Final answer
    x = 1,483,361.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.