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Finding the Third Proportional to 342,000 and 741,960

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Solution

The third proportional to 342,000 and 741,960 is: 1,609,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000 : 741,960 = 741,960 : x
  2. Step 2: Convert to fraction form
    342,000/741,960 = 741,960/x
  3. Step 3: Cross multiply
    342,000x = 741,960 × 741,960
  4. Step 4: Simplify right side
    342,000x = 550,504,641,600
  5. Step 5: Solve for x
    x = 550,504,641,600/342,000
  6. Step 6: Final answer
    x = 1,609,662.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.