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Finding the Third Proportional to 338,944.50 and 449,825.06

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Solution

The third proportional to 338,944.50 and 449,825.06 is: 596,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,944.50 : 449,825.06 = 449,825.06 : x
  2. Step 2: Convert to fraction form
    338,944.50/449,825.06 = 449,825.06/x
  3. Step 3: Cross multiply
    338,944.50x = 449,825.06 × 449,825.06
  4. Step 4: Simplify right side
    338,944.50x = 202,342,586,853.13
  5. Step 5: Solve for x
    x = 202,342,586,853.13/338,944.50
  6. Step 6: Final answer
    x = 596,978.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.