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Finding the Third Proportional to 990.75 and 1,540.88

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Solution

The third proportional to 990.75 and 1,540.88 is: 2,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.75 : 1,540.88 = 1,540.88 : x
  2. Step 2: Convert to fraction form
    990.75/1,540.88 = 1,540.88/x
  3. Step 3: Cross multiply
    990.75x = 1,540.88 × 1,540.88
  4. Step 4: Simplify right side
    990.75x = 2,374,295.77
  5. Step 5: Solve for x
    x = 2,374,295.77/990.75
  6. Step 6: Final answer
    x = 2,396.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.