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Finding the Third Proportional to 325,604 and 509,241

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Solution

The third proportional to 325,604 and 509,241 is: 796,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,604 : 509,241 = 509,241 : x
  2. Step 2: Convert to fraction form
    325,604/509,241 = 509,241/x
  3. Step 3: Cross multiply
    325,604x = 509,241 × 509,241
  4. Step 4: Simplify right side
    325,604x = 259,326,396,081
  5. Step 5: Solve for x
    x = 259,326,396,081/325,604
  6. Step 6: Final answer
    x = 796,447.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.