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Finding the Third Proportional to 285,162 and 624,756

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Solution

The third proportional to 285,162 and 624,756 is: 1,368,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,162 : 624,756 = 624,756 : x
  2. Step 2: Convert to fraction form
    285,162/624,756 = 624,756/x
  3. Step 3: Cross multiply
    285,162x = 624,756 × 624,756
  4. Step 4: Simplify right side
    285,162x = 390,320,059,536
  5. Step 5: Solve for x
    x = 390,320,059,536/285,162
  6. Step 6: Final answer
    x = 1,368,766.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.