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Finding the Third Proportional to 349.73 and 767.81

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Solution

The third proportional to 349.73 and 767.81 is: 1,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.73 : 767.81 = 767.81 : x
  2. Step 2: Convert to fraction form
    349.73/767.81 = 767.81/x
  3. Step 3: Cross multiply
    349.73x = 767.81 × 767.81
  4. Step 4: Simplify right side
    349.73x = 589,536.04
  5. Step 5: Solve for x
    x = 589,536.04/349.73
  6. Step 6: Final answer
    x = 1,685.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.