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Finding the Third Proportional to 228,742.50 and 504,021

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Solution

The third proportional to 228,742.50 and 504,021 is: 1,110,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,742.50 : 504,021 = 504,021 : x
  2. Step 2: Convert to fraction form
    228,742.50/504,021 = 504,021/x
  3. Step 3: Cross multiply
    228,742.50x = 504,021 × 504,021
  4. Step 4: Simplify right side
    228,742.50x = 254,037,168,441
  5. Step 5: Solve for x
    x = 254,037,168,441/228,742.50
  6. Step 6: Final answer
    x = 1,110,581.41

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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.