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Finding the Third Proportional to 624,016 and 967,800

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Solution

The third proportional to 624,016 and 967,800 is: 1,500,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,016 : 967,800 = 967,800 : x
  2. Step 2: Convert to fraction form
    624,016/967,800 = 967,800/x
  3. Step 3: Cross multiply
    624,016x = 967,800 × 967,800
  4. Step 4: Simplify right side
    624,016x = 936,636,840,000
  5. Step 5: Solve for x
    x = 936,636,840,000/624,016
  6. Step 6: Final answer
    x = 1,500,982.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.