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Finding the Third Proportional to 1,599.75 and 2,328.96

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Solution

The third proportional to 1,599.75 and 2,328.96 is: 3,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.75 : 2,328.96 = 2,328.96 : x
  2. Step 2: Convert to fraction form
    1,599.75/2,328.96 = 2,328.96/x
  3. Step 3: Cross multiply
    1,599.75x = 2,328.96 × 2,328.96
  4. Step 4: Simplify right side
    1,599.75x = 5,424,059.05
  5. Step 5: Solve for x
    x = 5,424,059.05/1,599.75
  6. Step 6: Final answer
    x = 3,390.57

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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.