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Finding the Third Proportional to 279.70 and 632.81

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Solution

The third proportional to 279.70 and 632.81 is: 1,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 632.81 = 632.81 : x
  2. Step 2: Convert to fraction form
    279.70/632.81 = 632.81/x
  3. Step 3: Cross multiply
    279.70x = 632.81 × 632.81
  4. Step 4: Simplify right side
    279.70x = 400,451.66
  5. Step 5: Solve for x
    x = 400,451.66/279.70
  6. Step 6: Final answer
    x = 1,431.70

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.