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Finding the Third Proportional to 226,449.56 and 488,365.88

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Solution

The third proportional to 226,449.56 and 488,365.88 is: 1,053,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,449.56 : 488,365.88 = 488,365.88 : x
  2. Step 2: Convert to fraction form
    226,449.56/488,365.88 = 488,365.88/x
  3. Step 3: Cross multiply
    226,449.56x = 488,365.88 × 488,365.88
  4. Step 4: Simplify right side
    226,449.56x = 238,501,227,864.52
  5. Step 5: Solve for x
    x = 238,501,227,864.52/226,449.56
  6. Step 6: Final answer
    x = 1,053,220.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.