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Finding the Third Proportional to 219,224 and 478,122

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Solution

The third proportional to 219,224 and 478,122 is: 1,042,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,224 : 478,122 = 478,122 : x
  2. Step 2: Convert to fraction form
    219,224/478,122 = 478,122/x
  3. Step 3: Cross multiply
    219,224x = 478,122 × 478,122
  4. Step 4: Simplify right side
    219,224x = 228,600,646,884
  5. Step 5: Solve for x
    x = 228,600,646,884/219,224
  6. Step 6: Final answer
    x = 1,042,771.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.