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Finding the Third Proportional to 335,094 and 729,162

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Solution

The third proportional to 335,094 and 729,162 is: 1,586,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,094 : 729,162 = 729,162 : x
  2. Step 2: Convert to fraction form
    335,094/729,162 = 729,162/x
  3. Step 3: Cross multiply
    335,094x = 729,162 × 729,162
  4. Step 4: Simplify right side
    335,094x = 531,677,222,244
  5. Step 5: Solve for x
    x = 531,677,222,244/335,094
  6. Step 6: Final answer
    x = 1,586,650.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.