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Finding the Third Proportional to 205,826 and 447,734

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Solution

The third proportional to 205,826 and 447,734 is: 973,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,826 : 447,734 = 447,734 : x
  2. Step 2: Convert to fraction form
    205,826/447,734 = 447,734/x
  3. Step 3: Cross multiply
    205,826x = 447,734 × 447,734
  4. Step 4: Simplify right side
    205,826x = 200,465,734,756
  5. Step 5: Solve for x
    x = 200,465,734,756/205,826
  6. Step 6: Final answer
    x = 973,957.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.