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Finding the Third Proportional to 337,758 and 741,946

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Solution

The third proportional to 337,758 and 741,946 is: 1,629,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,758 : 741,946 = 741,946 : x
  2. Step 2: Convert to fraction form
    337,758/741,946 = 741,946/x
  3. Step 3: Cross multiply
    337,758x = 741,946 × 741,946
  4. Step 4: Simplify right side
    337,758x = 550,483,866,916
  5. Step 5: Solve for x
    x = 550,483,866,916/337,758
  6. Step 6: Final answer
    x = 1,629,817.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.