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Finding the Third Proportional to 428,157.75 and 920,899.50

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Solution

The third proportional to 428,157.75 and 920,899.50 is: 1,980,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,157.75 : 920,899.50 = 920,899.50 : x
  2. Step 2: Convert to fraction form
    428,157.75/920,899.50 = 920,899.50/x
  3. Step 3: Cross multiply
    428,157.75x = 920,899.50 × 920,899.50
  4. Step 4: Simplify right side
    428,157.75x = 848,055,889,100.25
  5. Step 5: Solve for x
    x = 848,055,889,100.25/428,157.75
  6. Step 6: Final answer
    x = 1,980,708.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.