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Finding the Third Proportional to 492.44 and 738.69

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Solution

The third proportional to 492.44 and 738.69 is: 1,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.44 : 738.69 = 738.69 : x
  2. Step 2: Convert to fraction form
    492.44/738.69 = 738.69/x
  3. Step 3: Cross multiply
    492.44x = 738.69 × 738.69
  4. Step 4: Simplify right side
    492.44x = 545,659.22
  5. Step 5: Solve for x
    x = 545,659.22/492.44
  6. Step 6: Final answer
    x = 1,108.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.