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Finding the Third Proportional to 219,330 and 478,320

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Solution

The third proportional to 219,330 and 478,320 is: 1,043,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,330 : 478,320 = 478,320 : x
  2. Step 2: Convert to fraction form
    219,330/478,320 = 478,320/x
  3. Step 3: Cross multiply
    219,330x = 478,320 × 478,320
  4. Step 4: Simplify right side
    219,330x = 228,790,022,400
  5. Step 5: Solve for x
    x = 228,790,022,400/219,330
  6. Step 6: Final answer
    x = 1,043,131.46

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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.