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Finding the Third Proportional to 224,448.75 and 479,994.75

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Solution

The third proportional to 224,448.75 and 479,994.75 is: 1,026,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,448.75 : 479,994.75 = 479,994.75 : x
  2. Step 2: Convert to fraction form
    224,448.75/479,994.75 = 479,994.75/x
  3. Step 3: Cross multiply
    224,448.75x = 479,994.75 × 479,994.75
  4. Step 4: Simplify right side
    224,448.75x = 230,394,960,027.56
  5. Step 5: Solve for x
    x = 230,394,960,027.56/224,448.75
  6. Step 6: Final answer
    x = 1,026,492.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.