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Finding the Third Proportional to 428,760 and 667,622.25

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Solution

The third proportional to 428,760 and 667,622.25 is: 1,039,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,760 : 667,622.25 = 667,622.25 : x
  2. Step 2: Convert to fraction form
    428,760/667,622.25 = 667,622.25/x
  3. Step 3: Cross multiply
    428,760x = 667,622.25 × 667,622.25
  4. Step 4: Simplify right side
    428,760x = 445,719,468,695.06
  5. Step 5: Solve for x
    x = 445,719,468,695.06/428,760
  6. Step 6: Final answer
    x = 1,039,554.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.