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Finding the Third Proportional to 839.32 and 1,846.76

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Solution

The third proportional to 839.32 and 1,846.76 is: 4,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.32 : 1,846.76 = 1,846.76 : x
  2. Step 2: Convert to fraction form
    839.32/1,846.76 = 1,846.76/x
  3. Step 3: Cross multiply
    839.32x = 1,846.76 × 1,846.76
  4. Step 4: Simplify right side
    839.32x = 3,410,514.42
  5. Step 5: Solve for x
    x = 3,410,514.42/839.32
  6. Step 6: Final answer
    x = 4,063.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.