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Finding the Third Proportional to 227,052 and 329,884

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Solution

The third proportional to 227,052 and 329,884 is: 479,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,052 : 329,884 = 329,884 : x
  2. Step 2: Convert to fraction form
    227,052/329,884 = 329,884/x
  3. Step 3: Cross multiply
    227,052x = 329,884 × 329,884
  4. Step 4: Simplify right side
    227,052x = 108,823,453,456
  5. Step 5: Solve for x
    x = 108,823,453,456/227,052
  6. Step 6: Final answer
    x = 479,288.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.