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Finding the Third Proportional to 227,736 and 499,824

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Solution

The third proportional to 227,736 and 499,824 is: 1,096,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,736 : 499,824 = 499,824 : x
  2. Step 2: Convert to fraction form
    227,736/499,824 = 499,824/x
  3. Step 3: Cross multiply
    227,736x = 499,824 × 499,824
  4. Step 4: Simplify right side
    227,736x = 249,824,030,976
  5. Step 5: Solve for x
    x = 249,824,030,976/227,736
  6. Step 6: Final answer
    x = 1,096,989.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.