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Finding the Third Proportional to 200,728 and 310,977

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Solution

The third proportional to 200,728 and 310,977 is: 481,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,728 : 310,977 = 310,977 : x
  2. Step 2: Convert to fraction form
    200,728/310,977 = 310,977/x
  3. Step 3: Cross multiply
    200,728x = 310,977 × 310,977
  4. Step 4: Simplify right side
    200,728x = 96,706,694,529
  5. Step 5: Solve for x
    x = 96,706,694,529/200,728
  6. Step 6: Final answer
    x = 481,779.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.