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Finding the Third Proportional to 277,317 and 396,283.50

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Solution

The third proportional to 277,317 and 396,283.50 is: 566,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,317 : 396,283.50 = 396,283.50 : x
  2. Step 2: Convert to fraction form
    277,317/396,283.50 = 396,283.50/x
  3. Step 3: Cross multiply
    277,317x = 396,283.50 × 396,283.50
  4. Step 4: Simplify right side
    277,317x = 157,040,612,372.25
  5. Step 5: Solve for x
    x = 157,040,612,372.25/277,317
  6. Step 6: Final answer
    x = 566,285.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.