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Finding the Third Proportional to 920.32 and 1,997.58

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Solution

The third proportional to 920.32 and 1,997.58 is: 4,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.32 : 1,997.58 = 1,997.58 : x
  2. Step 2: Convert to fraction form
    920.32/1,997.58 = 1,997.58/x
  3. Step 3: Cross multiply
    920.32x = 1,997.58 × 1,997.58
  4. Step 4: Simplify right side
    920.32x = 3,990,318.37
  5. Step 5: Solve for x
    x = 3,990,318.37/920.32
  6. Step 6: Final answer
    x = 4,335.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.