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Finding the Third Proportional to 297,500 and 416,112

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Solution

The third proportional to 297,500 and 416,112 is: 582,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,500 : 416,112 = 416,112 : x
  2. Step 2: Convert to fraction form
    297,500/416,112 = 416,112/x
  3. Step 3: Cross multiply
    297,500x = 416,112 × 416,112
  4. Step 4: Simplify right side
    297,500x = 173,149,196,544
  5. Step 5: Solve for x
    x = 173,149,196,544/297,500
  6. Step 6: Final answer
    x = 582,014.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.