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Finding the Third Proportional to 428,105.25 and 666,670.50

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Solution

The third proportional to 428,105.25 and 666,670.50 is: 1,038,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,105.25 : 666,670.50 = 666,670.50 : x
  2. Step 2: Convert to fraction form
    428,105.25/666,670.50 = 666,670.50/x
  3. Step 3: Cross multiply
    428,105.25x = 666,670.50 × 666,670.50
  4. Step 4: Simplify right side
    428,105.25x = 444,449,555,570.25
  5. Step 5: Solve for x
    x = 444,449,555,570.25/428,105.25
  6. Step 6: Final answer
    x = 1,038,178.24

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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.