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Finding the Third Proportional to 339,534.75 and 719,544

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Solution

The third proportional to 339,534.75 and 719,544 is: 1,524,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,534.75 : 719,544 = 719,544 : x
  2. Step 2: Convert to fraction form
    339,534.75/719,544 = 719,544/x
  3. Step 3: Cross multiply
    339,534.75x = 719,544 × 719,544
  4. Step 4: Simplify right side
    339,534.75x = 517,743,567,936
  5. Step 5: Solve for x
    x = 517,743,567,936/339,534.75
  6. Step 6: Final answer
    x = 1,524,861.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.