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Finding the Third Proportional to 224,874.75 and 483,097.50

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Solution

The third proportional to 224,874.75 and 483,097.50 is: 1,037,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,874.75 : 483,097.50 = 483,097.50 : x
  2. Step 2: Convert to fraction form
    224,874.75/483,097.50 = 483,097.50/x
  3. Step 3: Cross multiply
    224,874.75x = 483,097.50 × 483,097.50
  4. Step 4: Simplify right side
    224,874.75x = 233,383,194,506.25
  5. Step 5: Solve for x
    x = 233,383,194,506.25/224,874.75
  6. Step 6: Final answer
    x = 1,037,836.37

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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.