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Finding the Third Proportional to 450 and 983.81

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Solution

The third proportional to 450 and 983.81 is: 2,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 983.81 = 983.81 : x
  2. Step 2: Convert to fraction form
    450/983.81 = 983.81/x
  3. Step 3: Cross multiply
    450x = 983.81 × 983.81
  4. Step 4: Simplify right side
    450x = 967,887.04
  5. Step 5: Solve for x
    x = 967,887.04/450
  6. Step 6: Final answer
    x = 2,150.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.