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Finding the Third Proportional to 222,077.25 and 488,431.13

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Solution

The third proportional to 222,077.25 and 488,431.13 is: 1,074,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,077.25 : 488,431.13 = 488,431.13 : x
  2. Step 2: Convert to fraction form
    222,077.25/488,431.13 = 488,431.13/x
  3. Step 3: Cross multiply
    222,077.25x = 488,431.13 × 488,431.13
  4. Step 4: Simplify right side
    222,077.25x = 238,564,963,868.77
  5. Step 5: Solve for x
    x = 238,564,963,868.77/222,077.25
  6. Step 6: Final answer
    x = 1,074,243.15

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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.