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Finding the Third Proportional to 632.81 and 1,316.04

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Solution

The third proportional to 632.81 and 1,316.04 is: 2,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.81 : 1,316.04 = 1,316.04 : x
  2. Step 2: Convert to fraction form
    632.81/1,316.04 = 1,316.04/x
  3. Step 3: Cross multiply
    632.81x = 1,316.04 × 1,316.04
  4. Step 4: Simplify right side
    632.81x = 1,731,958.81
  5. Step 5: Solve for x
    x = 1,731,958.81/632.81
  6. Step 6: Final answer
    x = 2,736.92

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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.