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Finding the Third Proportional to 412,844.63 and 683,268.75

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Solution

The third proportional to 412,844.63 and 683,268.75 is: 1,130,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,844.63 : 683,268.75 = 683,268.75 : x
  2. Step 2: Convert to fraction form
    412,844.63/683,268.75 = 683,268.75/x
  3. Step 3: Cross multiply
    412,844.63x = 683,268.75 × 683,268.75
  4. Step 4: Simplify right side
    412,844.63x = 466,856,184,726.56
  5. Step 5: Solve for x
    x = 466,856,184,726.56/412,844.63
  6. Step 6: Final answer
    x = 1,130,827.81

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.