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Finding the Third Proportional to 449.93 and 983.39

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Solution

The third proportional to 449.93 and 983.39 is: 2,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.93 : 983.39 = 983.39 : x
  2. Step 2: Convert to fraction form
    449.93/983.39 = 983.39/x
  3. Step 3: Cross multiply
    449.93x = 983.39 × 983.39
  4. Step 4: Simplify right side
    449.93x = 967,057.12
  5. Step 5: Solve for x
    x = 967,057.12/449.93
  6. Step 6: Final answer
    x = 2,149.35

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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.