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Finding the Third Proportional to 344,674 and 739,268

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Solution

The third proportional to 344,674 and 739,268 is: 1,585,606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,674 : 739,268 = 739,268 : x
  2. Step 2: Convert to fraction form
    344,674/739,268 = 739,268/x
  3. Step 3: Cross multiply
    344,674x = 739,268 × 739,268
  4. Step 4: Simplify right side
    344,674x = 546,517,175,824
  5. Step 5: Solve for x
    x = 546,517,175,824/344,674
  6. Step 6: Final answer
    x = 1,585,606.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.