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Finding the Third Proportional to 224.63 and 479.63

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Solution

The third proportional to 224.63 and 479.63 is: 1,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.63 : 479.63 = 479.63 : x
  2. Step 2: Convert to fraction form
    224.63/479.63 = 479.63/x
  3. Step 3: Cross multiply
    224.63x = 479.63 × 479.63
  4. Step 4: Simplify right side
    224.63x = 230,040.14
  5. Step 5: Solve for x
    x = 230,040.14/224.63
  6. Step 6: Final answer
    x = 1,024.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.