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Finding the Third Proportional to 202,651 and 440,977

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Solution

The third proportional to 202,651 and 440,977 is: 959,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,651 : 440,977 = 440,977 : x
  2. Step 2: Convert to fraction form
    202,651/440,977 = 440,977/x
  3. Step 3: Cross multiply
    202,651x = 440,977 × 440,977
  4. Step 4: Simplify right side
    202,651x = 194,460,714,529
  5. Step 5: Solve for x
    x = 194,460,714,529/202,651
  6. Step 6: Final answer
    x = 959,584.28

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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.