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Finding the Third Proportional to 277,099.31 and 595,638.56

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Solution

The third proportional to 277,099.31 and 595,638.56 is: 1,280,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,099.31 : 595,638.56 = 595,638.56 : x
  2. Step 2: Convert to fraction form
    277,099.31/595,638.56 = 595,638.56/x
  3. Step 3: Cross multiply
    277,099.31x = 595,638.56 × 595,638.56
  4. Step 4: Simplify right side
    277,099.31x = 354,785,297,137.07
  5. Step 5: Solve for x
    x = 354,785,297,137.07/277,099.31
  6. Step 6: Final answer
    x = 1,280,354.30

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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.