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Finding the Third Proportional to 348,406.50 and 763,245

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Solution

The third proportional to 348,406.50 and 763,245 is: 1,672,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,406.50 : 763,245 = 763,245 : x
  2. Step 2: Convert to fraction form
    348,406.50/763,245 = 763,245/x
  3. Step 3: Cross multiply
    348,406.50x = 763,245 × 763,245
  4. Step 4: Simplify right side
    348,406.50x = 582,542,930,025
  5. Step 5: Solve for x
    x = 582,542,930,025/348,406.50
  6. Step 6: Final answer
    x = 1,672,020.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.