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Finding the Third Proportional to 220,584 and 329,996

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Solution

The third proportional to 220,584 and 329,996 is: 493,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,584 : 329,996 = 329,996 : x
  2. Step 2: Convert to fraction form
    220,584/329,996 = 329,996/x
  3. Step 3: Cross multiply
    220,584x = 329,996 × 329,996
  4. Step 4: Simplify right side
    220,584x = 108,897,360,016
  5. Step 5: Solve for x
    x = 108,897,360,016/220,584
  6. Step 6: Final answer
    x = 493,677.51

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