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Finding the Third Proportional to 219.34 and 479.89

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Solution

The third proportional to 219.34 and 479.89 is: 1,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.34 : 479.89 = 479.89 : x
  2. Step 2: Convert to fraction form
    219.34/479.89 = 479.89/x
  3. Step 3: Cross multiply
    219.34x = 479.89 × 479.89
  4. Step 4: Simplify right side
    219.34x = 230,298.76
  5. Step 5: Solve for x
    x = 230,298.76/219.34
  6. Step 6: Final answer
    x = 1,049.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.