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Finding the Third Proportional to 234,671.34 and 504,721.97

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Solution

The third proportional to 234,671.34 and 504,721.97 is: 1,085,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,671.34 : 504,721.97 = 504,721.97 : x
  2. Step 2: Convert to fraction form
    234,671.34/504,721.97 = 504,721.97/x
  3. Step 3: Cross multiply
    234,671.34x = 504,721.97 × 504,721.97
  4. Step 4: Simplify right side
    234,671.34x = 254,744,265,738.88
  5. Step 5: Solve for x
    x = 254,744,265,738.88/234,671.34
  6. Step 6: Final answer
    x = 1,085,536.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.