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Finding the Third Proportional to 673.00 and 983.87

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Solution

The third proportional to 673.00 and 983.87 is: 1,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.00 : 983.87 = 983.87 : x
  2. Step 2: Convert to fraction form
    673.00/983.87 = 983.87/x
  3. Step 3: Cross multiply
    673.00x = 983.87 × 983.87
  4. Step 4: Simplify right side
    673.00x = 967,990.80
  5. Step 5: Solve for x
    x = 967,990.80/673.00
  6. Step 6: Final answer
    x = 1,438.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.