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Finding the Third Proportional to 453.41 and 983.71

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Solution

The third proportional to 453.41 and 983.71 is: 2,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.41 : 983.71 = 983.71 : x
  2. Step 2: Convert to fraction form
    453.41/983.71 = 983.71/x
  3. Step 3: Cross multiply
    453.41x = 983.71 × 983.71
  4. Step 4: Simplify right side
    453.41x = 967,679.52
  5. Step 5: Solve for x
    x = 967,679.52/453.41
  6. Step 6: Final answer
    x = 2,134.23

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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.