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Finding the Third Proportional to 305,906.63 and 656,069.63

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Solution

The third proportional to 305,906.63 and 656,069.63 is: 1,407,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906.63 : 656,069.63 = 656,069.63 : x
  2. Step 2: Convert to fraction form
    305,906.63/656,069.63 = 656,069.63/x
  3. Step 3: Cross multiply
    305,906.63x = 656,069.63 × 656,069.63
  4. Step 4: Simplify right side
    305,906.63x = 430,427,352,847.64
  5. Step 5: Solve for x
    x = 430,427,352,847.64/305,906.63
  6. Step 6: Final answer
    x = 1,407,054.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.