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Finding the Third Proportional to 268.63 and 630.88

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Solution

The third proportional to 268.63 and 630.88 is: 1,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.63 : 630.88 = 630.88 : x
  2. Step 2: Convert to fraction form
    268.63/630.88 = 630.88/x
  3. Step 3: Cross multiply
    268.63x = 630.88 × 630.88
  4. Step 4: Simplify right side
    268.63x = 398,003.27
  5. Step 5: Solve for x
    x = 398,003.27/268.63
  6. Step 6: Final answer
    x = 1,481.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.