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Finding the Third Proportional to 344,675.25 and 496,438.88

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Solution

The third proportional to 344,675.25 and 496,438.88 is: 715,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,675.25 : 496,438.88 = 496,438.88 : x
  2. Step 2: Convert to fraction form
    344,675.25/496,438.88 = 496,438.88/x
  3. Step 3: Cross multiply
    344,675.25x = 496,438.88 × 496,438.88
  4. Step 4: Simplify right side
    344,675.25x = 246,451,556,611.27
  5. Step 5: Solve for x
    x = 246,451,556,611.27/344,675.25
  6. Step 6: Final answer
    x = 715,025.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.