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Finding the Third Proportional to 219,822 and 466,616

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Solution

The third proportional to 219,822 and 466,616 is: 990,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,822 : 466,616 = 466,616 : x
  2. Step 2: Convert to fraction form
    219,822/466,616 = 466,616/x
  3. Step 3: Cross multiply
    219,822x = 466,616 × 466,616
  4. Step 4: Simplify right side
    219,822x = 217,730,491,456
  5. Step 5: Solve for x
    x = 217,730,491,456/219,822
  6. Step 6: Final answer
    x = 990,485.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.