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Finding the Third Proportional to 275,994 and 595,512

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Solution

The third proportional to 275,994 and 595,512 is: 1,284,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,994 : 595,512 = 595,512 : x
  2. Step 2: Convert to fraction form
    275,994/595,512 = 595,512/x
  3. Step 3: Cross multiply
    275,994x = 595,512 × 595,512
  4. Step 4: Simplify right side
    275,994x = 354,634,542,144
  5. Step 5: Solve for x
    x = 354,634,542,144/275,994
  6. Step 6: Final answer
    x = 1,284,935.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.