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Finding the Third Proportional to 307,606 and 481,569

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Solution

The third proportional to 307,606 and 481,569 is: 753,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,606 : 481,569 = 481,569 : x
  2. Step 2: Convert to fraction form
    307,606/481,569 = 481,569/x
  3. Step 3: Cross multiply
    307,606x = 481,569 × 481,569
  4. Step 4: Simplify right side
    307,606x = 231,908,701,761
  5. Step 5: Solve for x
    x = 231,908,701,761/307,606
  6. Step 6: Final answer
    x = 753,914.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.