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Finding the Third Proportional to 424.97 and 673.17

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Solution

The third proportional to 424.97 and 673.17 is: 1,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.97 : 673.17 = 673.17 : x
  2. Step 2: Convert to fraction form
    424.97/673.17 = 673.17/x
  3. Step 3: Cross multiply
    424.97x = 673.17 × 673.17
  4. Step 4: Simplify right side
    424.97x = 453,160.37
  5. Step 5: Solve for x
    x = 453,160.37/424.97
  6. Step 6: Final answer
    x = 1,066.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.