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Finding the Third Proportional to 224,429.25 and 479,961.75

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Solution

The third proportional to 224,429.25 and 479,961.75 is: 1,026,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,429.25 : 479,961.75 = 479,961.75 : x
  2. Step 2: Convert to fraction form
    224,429.25/479,961.75 = 479,961.75/x
  3. Step 3: Cross multiply
    224,429.25x = 479,961.75 × 479,961.75
  4. Step 4: Simplify right side
    224,429.25x = 230,363,281,463.06
  5. Step 5: Solve for x
    x = 230,363,281,463.06/224,429.25
  6. Step 6: Final answer
    x = 1,026,440.54

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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.