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Finding the Third Proportional to 222,376.50 and 478,524.38

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Solution

The third proportional to 222,376.50 and 478,524.38 is: 1,029,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,376.50 : 478,524.38 = 478,524.38 : x
  2. Step 2: Convert to fraction form
    222,376.50/478,524.38 = 478,524.38/x
  3. Step 3: Cross multiply
    222,376.50x = 478,524.38 × 478,524.38
  4. Step 4: Simplify right side
    222,376.50x = 228,985,577,469.14
  5. Step 5: Solve for x
    x = 228,985,577,469.14/222,376.50
  6. Step 6: Final answer
    x = 1,029,720.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.