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Finding the Third Proportional to 222,031.69 and 488,350.13

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Solution

The third proportional to 222,031.69 and 488,350.13 is: 1,074,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,031.69 : 488,350.13 = 488,350.13 : x
  2. Step 2: Convert to fraction form
    222,031.69/488,350.13 = 488,350.13/x
  3. Step 3: Cross multiply
    222,031.69x = 488,350.13 × 488,350.13
  4. Step 4: Simplify right side
    222,031.69x = 238,485,844,587.52
  5. Step 5: Solve for x
    x = 238,485,844,587.52/222,031.69
  6. Step 6: Final answer
    x = 1,074,107.25

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Why These Related Problems?

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