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Finding the Third Proportional to 623.11 and 1,481.84

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Solution

The third proportional to 623.11 and 1,481.84 is: 3,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.11 : 1,481.84 = 1,481.84 : x
  2. Step 2: Convert to fraction form
    623.11/1,481.84 = 1,481.84/x
  3. Step 3: Cross multiply
    623.11x = 1,481.84 × 1,481.84
  4. Step 4: Simplify right side
    623.11x = 2,195,837.75
  5. Step 5: Solve for x
    x = 2,195,837.75/623.11
  6. Step 6: Final answer
    x = 3,524.00

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.