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Finding the Third Proportional to 393,450.75 and 842,721.75

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Solution

The third proportional to 393,450.75 and 842,721.75 is: 1,805,003.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,450.75 : 842,721.75 = 842,721.75 : x
  2. Step 2: Convert to fraction form
    393,450.75/842,721.75 = 842,721.75/x
  3. Step 3: Cross multiply
    393,450.75x = 842,721.75 × 842,721.75
  4. Step 4: Simplify right side
    393,450.75x = 710,179,947,923.06
  5. Step 5: Solve for x
    x = 710,179,947,923.06/393,450.75
  6. Step 6: Final answer
    x = 1,805,003.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.