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Finding the Third Proportional to 344,524.50 and 503,178.75

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Solution

The third proportional to 344,524.50 and 503,178.75 is: 734,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,524.50 : 503,178.75 = 503,178.75 : x
  2. Step 2: Convert to fraction form
    344,524.50/503,178.75 = 503,178.75/x
  3. Step 3: Cross multiply
    344,524.50x = 503,178.75 × 503,178.75
  4. Step 4: Simplify right side
    344,524.50x = 253,188,854,451.56
  5. Step 5: Solve for x
    x = 253,188,854,451.56/344,524.50
  6. Step 6: Final answer
    x = 734,893.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.