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Finding the Third Proportional to 291,833.25 and 639,027

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Solution

The third proportional to 291,833.25 and 639,027 is: 1,399,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,833.25 : 639,027 = 639,027 : x
  2. Step 2: Convert to fraction form
    291,833.25/639,027 = 639,027/x
  3. Step 3: Cross multiply
    291,833.25x = 639,027 × 639,027
  4. Step 4: Simplify right side
    291,833.25x = 408,355,506,729
  5. Step 5: Solve for x
    x = 408,355,506,729/291,833.25
  6. Step 6: Final answer
    x = 1,399,276.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.