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Finding the Third Proportional to 336,584.25 and 729,245.25

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Solution

The third proportional to 336,584.25 and 729,245.25 is: 1,579,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,584.25 : 729,245.25 = 729,245.25 : x
  2. Step 2: Convert to fraction form
    336,584.25/729,245.25 = 729,245.25/x
  3. Step 3: Cross multiply
    336,584.25x = 729,245.25 × 729,245.25
  4. Step 4: Simplify right side
    336,584.25x = 531,798,634,647.56
  5. Step 5: Solve for x
    x = 531,798,634,647.56/336,584.25
  6. Step 6: Final answer
    x = 1,579,986.69

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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.