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Finding the Third Proportional to 997 and 2,303

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Solution

The third proportional to 997 and 2,303 is: 5,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    997 : 2,303 = 2,303 : x
  2. Step 2: Convert to fraction form
    997/2,303 = 2,303/x
  3. Step 3: Cross multiply
    997x = 2,303 × 2,303
  4. Step 4: Simplify right side
    997x = 5,303,809
  5. Step 5: Solve for x
    x = 5,303,809/997
  6. Step 6: Final answer
    x = 5,319.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.