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Finding the Third Proportional to 307,725.75 and 494,433

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Solution

The third proportional to 307,725.75 and 494,433 is: 794,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,725.75 : 494,433 = 494,433 : x
  2. Step 2: Convert to fraction form
    307,725.75/494,433 = 494,433/x
  3. Step 3: Cross multiply
    307,725.75x = 494,433 × 494,433
  4. Step 4: Simplify right side
    307,725.75x = 244,463,991,489
  5. Step 5: Solve for x
    x = 244,463,991,489/307,725.75
  6. Step 6: Final answer
    x = 794,421.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.