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Finding the Third Proportional to 633.13 and 1,316.69

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Solution

The third proportional to 633.13 and 1,316.69 is: 2,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.13 : 1,316.69 = 1,316.69 : x
  2. Step 2: Convert to fraction form
    633.13/1,316.69 = 1,316.69/x
  3. Step 3: Cross multiply
    633.13x = 1,316.69 × 1,316.69
  4. Step 4: Simplify right side
    633.13x = 1,733,665.97
  5. Step 5: Solve for x
    x = 1,733,665.97/633.13
  6. Step 6: Final answer
    x = 2,738.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.