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Finding the Third Proportional to 446,834.25 and 674,423.44

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Solution

The third proportional to 446,834.25 and 674,423.44 is: 1,017,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,834.25 : 674,423.44 = 674,423.44 : x
  2. Step 2: Convert to fraction form
    446,834.25/674,423.44 = 674,423.44/x
  3. Step 3: Cross multiply
    446,834.25x = 674,423.44 × 674,423.44
  4. Step 4: Simplify right side
    446,834.25x = 454,846,973,049.32
  5. Step 5: Solve for x
    x = 454,846,973,049.32/446,834.25
  6. Step 6: Final answer
    x = 1,017,932.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.