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Finding the Third Proportional to 378,000 and 818,064

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Solution

The third proportional to 378,000 and 818,064 is: 1,770,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,000 : 818,064 = 818,064 : x
  2. Step 2: Convert to fraction form
    378,000/818,064 = 818,064/x
  3. Step 3: Cross multiply
    378,000x = 818,064 × 818,064
  4. Step 4: Simplify right side
    378,000x = 669,228,708,096
  5. Step 5: Solve for x
    x = 669,228,708,096/378,000
  6. Step 6: Final answer
    x = 1,770,446.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.