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Finding the Third Proportional to 344,999.25 and 523,725.75

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Solution

The third proportional to 344,999.25 and 523,725.75 is: 795,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,999.25 : 523,725.75 = 523,725.75 : x
  2. Step 2: Convert to fraction form
    344,999.25/523,725.75 = 523,725.75/x
  3. Step 3: Cross multiply
    344,999.25x = 523,725.75 × 523,725.75
  4. Step 4: Simplify right side
    344,999.25x = 274,288,661,213.06
  5. Step 5: Solve for x
    x = 274,288,661,213.06/344,999.25
  6. Step 6: Final answer
    x = 795,041.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.