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Finding the Third Proportional to 347,055.75 and 703,770.75

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Solution

The third proportional to 347,055.75 and 703,770.75 is: 1,427,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,055.75 : 703,770.75 = 703,770.75 : x
  2. Step 2: Convert to fraction form
    347,055.75/703,770.75 = 703,770.75/x
  3. Step 3: Cross multiply
    347,055.75x = 703,770.75 × 703,770.75
  4. Step 4: Simplify right side
    347,055.75x = 495,293,268,555.56
  5. Step 5: Solve for x
    x = 495,293,268,555.56/347,055.75
  6. Step 6: Final answer
    x = 1,427,128.84

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.