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Finding the Third Proportional to 282,361 and 619,994

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Solution

The third proportional to 282,361 and 619,994 is: 1,361,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,361 : 619,994 = 619,994 : x
  2. Step 2: Convert to fraction form
    282,361/619,994 = 619,994/x
  3. Step 3: Cross multiply
    282,361x = 619,994 × 619,994
  4. Step 4: Simplify right side
    282,361x = 384,392,560,036
  5. Step 5: Solve for x
    x = 384,392,560,036/282,361
  6. Step 6: Final answer
    x = 1,361,351.46

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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.