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Finding the Third Proportional to 414,450 and 619,116

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Solution

The third proportional to 414,450 and 619,116 is: 924,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,450 : 619,116 = 619,116 : x
  2. Step 2: Convert to fraction form
    414,450/619,116 = 619,116/x
  3. Step 3: Cross multiply
    414,450x = 619,116 × 619,116
  4. Step 4: Simplify right side
    414,450x = 383,304,621,456
  5. Step 5: Solve for x
    x = 383,304,621,456/414,450
  6. Step 6: Final answer
    x = 924,851.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.