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Finding the Third Proportional to 983.44 and 1,500.84

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Solution

The third proportional to 983.44 and 1,500.84 is: 2,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.44 : 1,500.84 = 1,500.84 : x
  2. Step 2: Convert to fraction form
    983.44/1,500.84 = 1,500.84/x
  3. Step 3: Cross multiply
    983.44x = 1,500.84 × 1,500.84
  4. Step 4: Simplify right side
    983.44x = 2,252,531.96
  5. Step 5: Solve for x
    x = 2,252,531.96/983.44
  6. Step 6: Final answer
    x = 2,290.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.