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Finding the Third Proportional to 332,947 and 733,754

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Solution

The third proportional to 332,947 and 733,754 is: 1,617,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,947 : 733,754 = 733,754 : x
  2. Step 2: Convert to fraction form
    332,947/733,754 = 733,754/x
  3. Step 3: Cross multiply
    332,947x = 733,754 × 733,754
  4. Step 4: Simplify right side
    332,947x = 538,394,932,516
  5. Step 5: Solve for x
    x = 538,394,932,516/332,947
  6. Step 6: Final answer
    x = 1,617,058.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.