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Finding the Third Proportional to 282,372 and 620,040

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Solution

The third proportional to 282,372 and 620,040 is: 1,361,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,372 : 620,040 = 620,040 : x
  2. Step 2: Convert to fraction form
    282,372/620,040 = 620,040/x
  3. Step 3: Cross multiply
    282,372x = 620,040 × 620,040
  4. Step 4: Simplify right side
    282,372x = 384,449,601,600
  5. Step 5: Solve for x
    x = 384,449,601,600/282,372
  6. Step 6: Final answer
    x = 1,361,500.44

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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.