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Finding the Third Proportional to 247,772 and 393,756

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Solution

The third proportional to 247,772 and 393,756 is: 625,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,772 : 393,756 = 393,756 : x
  2. Step 2: Convert to fraction form
    247,772/393,756 = 393,756/x
  3. Step 3: Cross multiply
    247,772x = 393,756 × 393,756
  4. Step 4: Simplify right side
    247,772x = 155,043,787,536
  5. Step 5: Solve for x
    x = 155,043,787,536/247,772
  6. Step 6: Final answer
    x = 625,751.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.