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Finding the Third Proportional to 447,734 and 675,913

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Solution

The third proportional to 447,734 and 675,913 is: 1,020,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,734 : 675,913 = 675,913 : x
  2. Step 2: Convert to fraction form
    447,734/675,913 = 675,913/x
  3. Step 3: Cross multiply
    447,734x = 675,913 × 675,913
  4. Step 4: Simplify right side
    447,734x = 456,858,383,569
  5. Step 5: Solve for x
    x = 456,858,383,569/447,734
  6. Step 6: Final answer
    x = 1,020,379.03

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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.