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Finding the Third Proportional to 224,771 and 478,150

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Solution

The third proportional to 224,771 and 478,150 is: 1,017,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,771 : 478,150 = 478,150 : x
  2. Step 2: Convert to fraction form
    224,771/478,150 = 478,150/x
  3. Step 3: Cross multiply
    224,771x = 478,150 × 478,150
  4. Step 4: Simplify right side
    224,771x = 228,627,422,500
  5. Step 5: Solve for x
    x = 228,627,422,500/224,771
  6. Step 6: Final answer
    x = 1,017,157.12

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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.