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Finding the Third Proportional to 223,453.69 and 488,404.69

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Solution

The third proportional to 223,453.69 and 488,404.69 is: 1,067,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,453.69 : 488,404.69 = 488,404.69 : x
  2. Step 2: Convert to fraction form
    223,453.69/488,404.69 = 488,404.69/x
  3. Step 3: Cross multiply
    223,453.69x = 488,404.69 × 488,404.69
  4. Step 4: Simplify right side
    223,453.69x = 238,539,138,771.97
  5. Step 5: Solve for x
    x = 238,539,138,771.97/223,453.69
  6. Step 6: Final answer
    x = 1,067,510.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.