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Finding the Third Proportional to 334,949 and 728,074

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Solution

The third proportional to 334,949 and 728,074 is: 1,582,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,949 : 728,074 = 728,074 : x
  2. Step 2: Convert to fraction form
    334,949/728,074 = 728,074/x
  3. Step 3: Cross multiply
    334,949x = 728,074 × 728,074
  4. Step 4: Simplify right side
    334,949x = 530,091,749,476
  5. Step 5: Solve for x
    x = 530,091,749,476/334,949
  6. Step 6: Final answer
    x = 1,582,604.37

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Why These Related Problems?

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