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Finding the Third Proportional to 428,768 and 650,064

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Solution

The third proportional to 428,768 and 650,064 is: 985,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,768 : 650,064 = 650,064 : x
  2. Step 2: Convert to fraction form
    428,768/650,064 = 650,064/x
  3. Step 3: Cross multiply
    428,768x = 650,064 × 650,064
  4. Step 4: Simplify right side
    428,768x = 422,583,204,096
  5. Step 5: Solve for x
    x = 422,583,204,096/428,768
  6. Step 6: Final answer
    x = 985,575.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.