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Finding the Third Proportional to 219 and 476.63

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Solution

The third proportional to 219 and 476.63 is: 1,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 476.63 = 476.63 : x
  2. Step 2: Convert to fraction form
    219/476.63 = 476.63/x
  3. Step 3: Cross multiply
    219x = 476.63 × 476.63
  4. Step 4: Simplify right side
    219x = 227,171.39
  5. Step 5: Solve for x
    x = 227,171.39/219
  6. Step 6: Final answer
    x = 1,037.31

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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.