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Finding the Third Proportional to 307,844 and 481,206

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Solution

The third proportional to 307,844 and 481,206 is: 752,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,844 : 481,206 = 481,206 : x
  2. Step 2: Convert to fraction form
    307,844/481,206 = 481,206/x
  3. Step 3: Cross multiply
    307,844x = 481,206 × 481,206
  4. Step 4: Simplify right side
    307,844x = 231,559,214,436
  5. Step 5: Solve for x
    x = 231,559,214,436/307,844
  6. Step 6: Final answer
    x = 752,196.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.