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Finding the Third Proportional to 312,646.50 and 659,745

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Solution

The third proportional to 312,646.50 and 659,745 is: 1,392,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,646.50 : 659,745 = 659,745 : x
  2. Step 2: Convert to fraction form
    312,646.50/659,745 = 659,745/x
  3. Step 3: Cross multiply
    312,646.50x = 659,745 × 659,745
  4. Step 4: Simplify right side
    312,646.50x = 435,263,465,025
  5. Step 5: Solve for x
    x = 435,263,465,025/312,646.50
  6. Step 6: Final answer
    x = 1,392,190.43

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.