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Finding the Third Proportional to 673.31 and 1,478.67

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Solution

The third proportional to 673.31 and 1,478.67 is: 3,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.31 : 1,478.67 = 1,478.67 : x
  2. Step 2: Convert to fraction form
    673.31/1,478.67 = 1,478.67/x
  3. Step 3: Cross multiply
    673.31x = 1,478.67 × 1,478.67
  4. Step 4: Simplify right side
    673.31x = 2,186,470.51
  5. Step 5: Solve for x
    x = 2,186,470.51/673.31
  6. Step 6: Final answer
    x = 3,247.33

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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.