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Finding the Third Proportional to 220,819.50 and 478,980

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Solution

The third proportional to 220,819.50 and 478,980 is: 1,038,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,819.50 : 478,980 = 478,980 : x
  2. Step 2: Convert to fraction form
    220,819.50/478,980 = 478,980/x
  3. Step 3: Cross multiply
    220,819.50x = 478,980 × 478,980
  4. Step 4: Simplify right side
    220,819.50x = 229,421,840,400
  5. Step 5: Solve for x
    x = 229,421,840,400/220,819.50
  6. Step 6: Final answer
    x = 1,038,956.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.