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Finding the Third Proportional to 594.75 and 1,198.50

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Solution

The third proportional to 594.75 and 1,198.50 is: 2,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.75 : 1,198.50 = 1,198.50 : x
  2. Step 2: Convert to fraction form
    594.75/1,198.50 = 1,198.50/x
  3. Step 3: Cross multiply
    594.75x = 1,198.50 × 1,198.50
  4. Step 4: Simplify right side
    594.75x = 1,436,402.25
  5. Step 5: Solve for x
    x = 1,436,402.25/594.75
  6. Step 6: Final answer
    x = 2,415.14

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.