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Finding the Third Proportional to 226,584 and 462,996

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Solution

The third proportional to 226,584 and 462,996 is: 946,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,584 : 462,996 = 462,996 : x
  2. Step 2: Convert to fraction form
    226,584/462,996 = 462,996/x
  3. Step 3: Cross multiply
    226,584x = 462,996 × 462,996
  4. Step 4: Simplify right side
    226,584x = 214,365,296,016
  5. Step 5: Solve for x
    x = 214,365,296,016/226,584
  6. Step 6: Final answer
    x = 946,074.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.