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Finding the Third Proportional to 492,137 and 759,194

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Solution

The third proportional to 492,137 and 759,194 is: 1,171,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,137 : 759,194 = 759,194 : x
  2. Step 2: Convert to fraction form
    492,137/759,194 = 759,194/x
  3. Step 3: Cross multiply
    492,137x = 759,194 × 759,194
  4. Step 4: Simplify right side
    492,137x = 576,375,529,636
  5. Step 5: Solve for x
    x = 576,375,529,636/492,137
  6. Step 6: Final answer
    x = 1,171,168.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.