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Finding the Third Proportional to 281,996 and 610,456

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Solution

The third proportional to 281,996 and 610,456 is: 1,321,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,996 : 610,456 = 610,456 : x
  2. Step 2: Convert to fraction form
    281,996/610,456 = 610,456/x
  3. Step 3: Cross multiply
    281,996x = 610,456 × 610,456
  4. Step 4: Simplify right side
    281,996x = 372,656,527,936
  5. Step 5: Solve for x
    x = 372,656,527,936/281,996
  6. Step 6: Final answer
    x = 1,321,495.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.