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Finding the Third Proportional to 226,678 and 469,736

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Solution

The third proportional to 226,678 and 469,736 is: 973,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,678 : 469,736 = 469,736 : x
  2. Step 2: Convert to fraction form
    226,678/469,736 = 469,736/x
  3. Step 3: Cross multiply
    226,678x = 469,736 × 469,736
  4. Step 4: Simplify right side
    226,678x = 220,651,909,696
  5. Step 5: Solve for x
    x = 220,651,909,696/226,678
  6. Step 6: Final answer
    x = 973,415.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.