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Finding the Third Proportional to 281,960 and 619,996

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Solution

The third proportional to 281,960 and 619,996 is: 1,363,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,960 : 619,996 = 619,996 : x
  2. Step 2: Convert to fraction form
    281,960/619,996 = 619,996/x
  3. Step 3: Cross multiply
    281,960x = 619,996 × 619,996
  4. Step 4: Simplify right side
    281,960x = 384,395,040,016
  5. Step 5: Solve for x
    x = 384,395,040,016/281,960
  6. Step 6: Final answer
    x = 1,363,296.35

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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.