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Finding the Third Proportional to 339,415.50 and 503,245.50

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Solution

The third proportional to 339,415.50 and 503,245.50 is: 746,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,415.50 : 503,245.50 = 503,245.50 : x
  2. Step 2: Convert to fraction form
    339,415.50/503,245.50 = 503,245.50/x
  3. Step 3: Cross multiply
    339,415.50x = 503,245.50 × 503,245.50
  4. Step 4: Simplify right side
    339,415.50x = 253,256,033,270.25
  5. Step 5: Solve for x
    x = 253,256,033,270.25/339,415.50
  6. Step 6: Final answer
    x = 746,153.41

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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.