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Finding the Third Proportional to 209,816 and 332,744

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Solution

The third proportional to 209,816 and 332,744 is: 527,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,816 : 332,744 = 332,744 : x
  2. Step 2: Convert to fraction form
    209,816/332,744 = 332,744/x
  3. Step 3: Cross multiply
    209,816x = 332,744 × 332,744
  4. Step 4: Simplify right side
    209,816x = 110,718,569,536
  5. Step 5: Solve for x
    x = 110,718,569,536/209,816
  6. Step 6: Final answer
    x = 527,693.64

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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.