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Finding the Third Proportional to 225,623 and 481,270

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Solution

The third proportional to 225,623 and 481,270 is: 1,026,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,623 : 481,270 = 481,270 : x
  2. Step 2: Convert to fraction form
    225,623/481,270 = 481,270/x
  3. Step 3: Cross multiply
    225,623x = 481,270 × 481,270
  4. Step 4: Simplify right side
    225,623x = 231,620,812,900
  5. Step 5: Solve for x
    x = 231,620,812,900/225,623
  6. Step 6: Final answer
    x = 1,026,583.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.