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Finding the Third Proportional to 236,022 and 509,736

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Solution

The third proportional to 236,022 and 509,736 is: 1,100,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,022 : 509,736 = 509,736 : x
  2. Step 2: Convert to fraction form
    236,022/509,736 = 509,736/x
  3. Step 3: Cross multiply
    236,022x = 509,736 × 509,736
  4. Step 4: Simplify right side
    236,022x = 259,830,789,696
  5. Step 5: Solve for x
    x = 259,830,789,696/236,022
  6. Step 6: Final answer
    x = 1,100,875.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.