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Finding the Third Proportional to 209,824 and 332,756

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Solution

The third proportional to 209,824 and 332,756 is: 527,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,824 : 332,756 = 332,756 : x
  2. Step 2: Convert to fraction form
    209,824/332,756 = 332,756/x
  3. Step 3: Cross multiply
    209,824x = 332,756 × 332,756
  4. Step 4: Simplify right side
    209,824x = 110,726,555,536
  5. Step 5: Solve for x
    x = 110,726,555,536/209,824
  6. Step 6: Final answer
    x = 527,711.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.