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Finding the Third Proportional to 238,505 and 483,929

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Solution

The third proportional to 238,505 and 483,929 is: 981,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,505 : 483,929 = 483,929 : x
  2. Step 2: Convert to fraction form
    238,505/483,929 = 483,929/x
  3. Step 3: Cross multiply
    238,505x = 483,929 × 483,929
  4. Step 4: Simplify right side
    238,505x = 234,187,277,041
  5. Step 5: Solve for x
    x = 234,187,277,041/238,505
  6. Step 6: Final answer
    x = 981,896.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.