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Finding the Third Proportional to 1,003.88 and 1,410.94

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Solution

The third proportional to 1,003.88 and 1,410.94 is: 1,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.88 : 1,410.94 = 1,410.94 : x
  2. Step 2: Convert to fraction form
    1,003.88/1,410.94 = 1,410.94/x
  3. Step 3: Cross multiply
    1,003.88x = 1,410.94 × 1,410.94
  4. Step 4: Simplify right side
    1,003.88x = 1,990,744.63
  5. Step 5: Solve for x
    x = 1,990,744.63/1,003.88
  6. Step 6: Final answer
    x = 1,983.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.