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Finding the Third Proportional to 236,481 and 484,012

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Solution

The third proportional to 236,481 and 484,012 is: 990,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,481 : 484,012 = 484,012 : x
  2. Step 2: Convert to fraction form
    236,481/484,012 = 484,012/x
  3. Step 3: Cross multiply
    236,481x = 484,012 × 484,012
  4. Step 4: Simplify right side
    236,481x = 234,267,616,144
  5. Step 5: Solve for x
    x = 234,267,616,144/236,481
  6. Step 6: Final answer
    x = 990,640.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.