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Finding the Third Proportional to 339,099.75 and 724,836.75

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Solution

The third proportional to 339,099.75 and 724,836.75 is: 1,549,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,099.75 : 724,836.75 = 724,836.75 : x
  2. Step 2: Convert to fraction form
    339,099.75/724,836.75 = 724,836.75/x
  3. Step 3: Cross multiply
    339,099.75x = 724,836.75 × 724,836.75
  4. Step 4: Simplify right side
    339,099.75x = 525,388,314,150.56
  5. Step 5: Solve for x
    x = 525,388,314,150.56/339,099.75
  6. Step 6: Final answer
    x = 1,549,362.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.