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Finding the Third Proportional to 220,085.44 and 482,361.75

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Solution

The third proportional to 220,085.44 and 482,361.75 is: 1,057,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,085.44 : 482,361.75 = 482,361.75 : x
  2. Step 2: Convert to fraction form
    220,085.44/482,361.75 = 482,361.75/x
  3. Step 3: Cross multiply
    220,085.44x = 482,361.75 × 482,361.75
  4. Step 4: Simplify right side
    220,085.44x = 232,672,857,863.06
  5. Step 5: Solve for x
    x = 232,672,857,863.06/220,085.44
  6. Step 6: Final answer
    x = 1,057,193.34

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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.