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Finding the Third Proportional to 219,324 and 478,311

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Solution

The third proportional to 219,324 and 478,311 is: 1,043,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324 : 478,311 = 478,311 : x
  2. Step 2: Convert to fraction form
    219,324/478,311 = 478,311/x
  3. Step 3: Cross multiply
    219,324x = 478,311 × 478,311
  4. Step 4: Simplify right side
    219,324x = 228,781,412,721
  5. Step 5: Solve for x
    x = 228,781,412,721/219,324
  6. Step 6: Final answer
    x = 1,043,120.74

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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.