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Finding the Third Proportional to 220,586 and 329,996

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Solution

The third proportional to 220,586 and 329,996 is: 493,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,586 : 329,996 = 329,996 : x
  2. Step 2: Convert to fraction form
    220,586/329,996 = 329,996/x
  3. Step 3: Cross multiply
    220,586x = 329,996 × 329,996
  4. Step 4: Simplify right side
    220,586x = 108,897,360,016
  5. Step 5: Solve for x
    x = 108,897,360,016/220,586
  6. Step 6: Final answer
    x = 493,673.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.