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Finding the Third Proportional to 252,954 and 559,467

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Solution

The third proportional to 252,954 and 559,467 is: 1,237,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,954 : 559,467 = 559,467 : x
  2. Step 2: Convert to fraction form
    252,954/559,467 = 559,467/x
  3. Step 3: Cross multiply
    252,954x = 559,467 × 559,467
  4. Step 4: Simplify right side
    252,954x = 313,003,324,089
  5. Step 5: Solve for x
    x = 313,003,324,089/252,954
  6. Step 6: Final answer
    x = 1,237,392.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.