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Finding the Third Proportional to 277,601 and 597,298

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Solution

The third proportional to 277,601 and 597,298 is: 1,285,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,601 : 597,298 = 597,298 : x
  2. Step 2: Convert to fraction form
    277,601/597,298 = 597,298/x
  3. Step 3: Cross multiply
    277,601x = 597,298 × 597,298
  4. Step 4: Simplify right side
    277,601x = 356,764,900,804
  5. Step 5: Solve for x
    x = 356,764,900,804/277,601
  6. Step 6: Final answer
    x = 1,285,171.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.