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Finding the Third Proportional to 281,804 and 624,378

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Solution

The third proportional to 281,804 and 624,378 is: 1,383,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,804 : 624,378 = 624,378 : x
  2. Step 2: Convert to fraction form
    281,804/624,378 = 624,378/x
  3. Step 3: Cross multiply
    281,804x = 624,378 × 624,378
  4. Step 4: Simplify right side
    281,804x = 389,847,886,884
  5. Step 5: Solve for x
    x = 389,847,886,884/281,804
  6. Step 6: Final answer
    x = 1,383,400.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.