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Finding the Third Proportional to 282,378 and 620,052

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Solution

The third proportional to 282,378 and 620,052 is: 1,361,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,378 : 620,052 = 620,052 : x
  2. Step 2: Convert to fraction form
    282,378/620,052 = 620,052/x
  3. Step 3: Cross multiply
    282,378x = 620,052 × 620,052
  4. Step 4: Simplify right side
    282,378x = 384,464,482,704
  5. Step 5: Solve for x
    x = 384,464,482,704/282,378
  6. Step 6: Final answer
    x = 1,361,524.21

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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.