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Finding the Third Proportional to 281,954 and 437,256

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Solution

The third proportional to 281,954 and 437,256 is: 678,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,954 : 437,256 = 437,256 : x
  2. Step 2: Convert to fraction form
    281,954/437,256 = 437,256/x
  3. Step 3: Cross multiply
    281,954x = 437,256 × 437,256
  4. Step 4: Simplify right side
    281,954x = 191,192,809,536
  5. Step 5: Solve for x
    x = 191,192,809,536/281,954
  6. Step 6: Final answer
    x = 678,099.30

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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.