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Finding the Third Proportional to 228,745 and 504,025

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Solution

The third proportional to 228,745 and 504,025 is: 1,110,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,745 : 504,025 = 504,025 : x
  2. Step 2: Convert to fraction form
    228,745/504,025 = 504,025/x
  3. Step 3: Cross multiply
    228,745x = 504,025 × 504,025
  4. Step 4: Simplify right side
    228,745x = 254,041,200,625
  5. Step 5: Solve for x
    x = 254,041,200,625/228,745
  6. Step 6: Final answer
    x = 1,110,586.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.