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Finding the Third Proportional to 219,318 and 478,299

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Solution

The third proportional to 219,318 and 478,299 is: 1,043,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,318 : 478,299 = 478,299 : x
  2. Step 2: Convert to fraction form
    219,318/478,299 = 478,299/x
  3. Step 3: Cross multiply
    219,318x = 478,299 × 478,299
  4. Step 4: Simplify right side
    219,318x = 228,769,933,401
  5. Step 5: Solve for x
    x = 228,769,933,401/219,318
  6. Step 6: Final answer
    x = 1,043,096.93

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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.