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Finding the Third Proportional to 673.88 and 1,470.38

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Solution

The third proportional to 673.88 and 1,470.38 is: 3,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.88 : 1,470.38 = 1,470.38 : x
  2. Step 2: Convert to fraction form
    673.88/1,470.38 = 1,470.38/x
  3. Step 3: Cross multiply
    673.88x = 1,470.38 × 1,470.38
  4. Step 4: Simplify right side
    673.88x = 2,162,002.64
  5. Step 5: Solve for x
    x = 2,162,002.64/673.88
  6. Step 6: Final answer
    x = 3,208.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.