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Finding the Third Proportional to 281,962 and 620,000

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Solution

The third proportional to 281,962 and 620,000 is: 1,363,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,962 : 620,000 = 620,000 : x
  2. Step 2: Convert to fraction form
    281,962/620,000 = 620,000/x
  3. Step 3: Cross multiply
    281,962x = 620,000 × 620,000
  4. Step 4: Simplify right side
    281,962x = 384,400,000,000
  5. Step 5: Solve for x
    x = 384,400,000,000/281,962
  6. Step 6: Final answer
    x = 1,363,304.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.