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Finding the Third Proportional to 337,296 and 504,120

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Solution

The third proportional to 337,296 and 504,120 is: 753,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,296 : 504,120 = 504,120 : x
  2. Step 2: Convert to fraction form
    337,296/504,120 = 504,120/x
  3. Step 3: Cross multiply
    337,296x = 504,120 × 504,120
  4. Step 4: Simplify right side
    337,296x = 254,136,974,400
  5. Step 5: Solve for x
    x = 254,136,974,400/337,296
  6. Step 6: Final answer
    x = 753,453.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.