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Finding the Third Proportional to 733.50 and 1,197.19

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Solution

The third proportional to 733.50 and 1,197.19 is: 1,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,197.19 = 1,197.19 : x
  2. Step 2: Convert to fraction form
    733.50/1,197.19 = 1,197.19/x
  3. Step 3: Cross multiply
    733.50x = 1,197.19 × 1,197.19
  4. Step 4: Simplify right side
    733.50x = 1,433,257.91
  5. Step 5: Solve for x
    x = 1,433,257.91/733.50
  6. Step 6: Final answer
    x = 1,954.00

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.