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Finding the Third Proportional to 339,409.50 and 503,241

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Solution

The third proportional to 339,409.50 and 503,241 is: 746,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,409.50 : 503,241 = 503,241 : x
  2. Step 2: Convert to fraction form
    339,409.50/503,241 = 503,241/x
  3. Step 3: Cross multiply
    339,409.50x = 503,241 × 503,241
  4. Step 4: Simplify right side
    339,409.50x = 253,251,504,081
  5. Step 5: Solve for x
    x = 253,251,504,081/339,409.50
  6. Step 6: Final answer
    x = 746,153.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.