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Finding the Third Proportional to 224,777 and 479,200

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Solution

The third proportional to 224,777 and 479,200 is: 1,021,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,777 : 479,200 = 479,200 : x
  2. Step 2: Convert to fraction form
    224,777/479,200 = 479,200/x
  3. Step 3: Cross multiply
    224,777x = 479,200 × 479,200
  4. Step 4: Simplify right side
    224,777x = 229,632,640,000
  5. Step 5: Solve for x
    x = 229,632,640,000/224,777
  6. Step 6: Final answer
    x = 1,021,602.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.