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Finding the Third Proportional to 347,051.25 and 703,761.75

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Solution

The third proportional to 347,051.25 and 703,761.75 is: 1,427,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,051.25 : 703,761.75 = 703,761.75 : x
  2. Step 2: Convert to fraction form
    347,051.25/703,761.75 = 703,761.75/x
  3. Step 3: Cross multiply
    347,051.25x = 703,761.75 × 703,761.75
  4. Step 4: Simplify right side
    347,051.25x = 495,280,600,763.06
  5. Step 5: Solve for x
    x = 495,280,600,763.06/347,051.25
  6. Step 6: Final answer
    x = 1,427,110.84

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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.