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Finding the Third Proportional to 437,896 and 659,977

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Solution

The third proportional to 437,896 and 659,977 is: 994,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,896 : 659,977 = 659,977 : x
  2. Step 2: Convert to fraction form
    437,896/659,977 = 659,977/x
  3. Step 3: Cross multiply
    437,896x = 659,977 × 659,977
  4. Step 4: Simplify right side
    437,896x = 435,569,640,529
  5. Step 5: Solve for x
    x = 435,569,640,529/437,896
  6. Step 6: Final answer
    x = 994,687.42

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