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Finding the Third Proportional to 447,736 and 675,916

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Solution

The third proportional to 447,736 and 675,916 is: 1,020,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,736 : 675,916 = 675,916 : x
  2. Step 2: Convert to fraction form
    447,736/675,916 = 675,916/x
  3. Step 3: Cross multiply
    447,736x = 675,916 × 675,916
  4. Step 4: Simplify right side
    447,736x = 456,862,439,056
  5. Step 5: Solve for x
    x = 456,862,439,056/447,736
  6. Step 6: Final answer
    x = 1,020,383.53

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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.