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Finding the Third Proportional to 226,002 and 501,567

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Solution

The third proportional to 226,002 and 501,567 is: 1,113,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,002 : 501,567 = 501,567 : x
  2. Step 2: Convert to fraction form
    226,002/501,567 = 501,567/x
  3. Step 3: Cross multiply
    226,002x = 501,567 × 501,567
  4. Step 4: Simplify right side
    226,002x = 251,569,455,489
  5. Step 5: Solve for x
    x = 251,569,455,489/226,002
  6. Step 6: Final answer
    x = 1,113,129.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.