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Finding the Third Proportional to 339,400.50 and 503,229.75

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Solution

The third proportional to 339,400.50 and 503,229.75 is: 746,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,400.50 : 503,229.75 = 503,229.75 : x
  2. Step 2: Convert to fraction form
    339,400.50/503,229.75 = 503,229.75/x
  3. Step 3: Cross multiply
    339,400.50x = 503,229.75 × 503,229.75
  4. Step 4: Simplify right side
    339,400.50x = 253,240,181,285.06
  5. Step 5: Solve for x
    x = 253,240,181,285.06/339,400.50
  6. Step 6: Final answer
    x = 746,139.68

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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.