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Finding the Third Proportional to 244,980 and 384,966

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Solution

The third proportional to 244,980 and 384,966 is: 604,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,980 : 384,966 = 384,966 : x
  2. Step 2: Convert to fraction form
    244,980/384,966 = 384,966/x
  3. Step 3: Cross multiply
    244,980x = 384,966 × 384,966
  4. Step 4: Simplify right side
    244,980x = 148,198,821,156
  5. Step 5: Solve for x
    x = 148,198,821,156/244,980
  6. Step 6: Final answer
    x = 604,942.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.