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Finding the Third Proportional to 222,031.97 and 488,350.69

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Solution

The third proportional to 222,031.97 and 488,350.69 is: 1,074,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,031.97 : 488,350.69 = 488,350.69 : x
  2. Step 2: Convert to fraction form
    222,031.97/488,350.69 = 488,350.69/x
  3. Step 3: Cross multiply
    222,031.97x = 488,350.69 × 488,350.69
  4. Step 4: Simplify right side
    222,031.97x = 238,486,393,981.72
  5. Step 5: Solve for x
    x = 238,486,393,981.72/222,031.97
  6. Step 6: Final answer
    x = 1,074,108.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.