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Finding the Third Proportional to 331,303.50 and 449,199

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Solution

The third proportional to 331,303.50 and 449,199 is: 609,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,303.50 : 449,199 = 449,199 : x
  2. Step 2: Convert to fraction form
    331,303.50/449,199 = 449,199/x
  3. Step 3: Cross multiply
    331,303.50x = 449,199 × 449,199
  4. Step 4: Simplify right side
    331,303.50x = 201,779,741,601
  5. Step 5: Solve for x
    x = 201,779,741,601/331,303.50
  6. Step 6: Final answer
    x = 609,048.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.