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Finding the Third Proportional to 217,122.05 and 478,416.94

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Solution

The third proportional to 217,122.05 and 478,416.94 is: 1,054,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,122.05 : 478,416.94 = 478,416.94 : x
  2. Step 2: Convert to fraction form
    217,122.05/478,416.94 = 478,416.94/x
  3. Step 3: Cross multiply
    217,122.05x = 478,416.94 × 478,416.94
  4. Step 4: Simplify right side
    217,122.05x = 228,882,766,086.88
  5. Step 5: Solve for x
    x = 228,882,766,086.88/217,122.05
  6. Step 6: Final answer
    x = 1,054,166.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.