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Finding the Third Proportional to 226,588 and 463,004

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Solution

The third proportional to 226,588 and 463,004 is: 946,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,588 : 463,004 = 463,004 : x
  2. Step 2: Convert to fraction form
    226,588/463,004 = 463,004/x
  3. Step 3: Cross multiply
    226,588x = 463,004 × 463,004
  4. Step 4: Simplify right side
    226,588x = 214,372,704,016
  5. Step 5: Solve for x
    x = 214,372,704,016/226,588
  6. Step 6: Final answer
    x = 946,090.28

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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.