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Finding the Third Proportional to 224,601.75 and 490,692.75

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Solution

The third proportional to 224,601.75 and 490,692.75 is: 1,072,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,601.75 : 490,692.75 = 490,692.75 : x
  2. Step 2: Convert to fraction form
    224,601.75/490,692.75 = 490,692.75/x
  3. Step 3: Cross multiply
    224,601.75x = 490,692.75 × 490,692.75
  4. Step 4: Simplify right side
    224,601.75x = 240,779,374,902.56
  5. Step 5: Solve for x
    x = 240,779,374,902.56/224,601.75
  6. Step 6: Final answer
    x = 1,072,028.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.