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Finding the Third Proportional to 505,342.50 and 743,225

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Solution

The third proportional to 505,342.50 and 743,225 is: 1,093,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,342.50 : 743,225 = 743,225 : x
  2. Step 2: Convert to fraction form
    505,342.50/743,225 = 743,225/x
  3. Step 3: Cross multiply
    505,342.50x = 743,225 × 743,225
  4. Step 4: Simplify right side
    505,342.50x = 552,383,400,625
  5. Step 5: Solve for x
    x = 552,383,400,625/505,342.50
  6. Step 6: Final answer
    x = 1,093,087.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.