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Finding the Third Proportional to 412.17 and 622.34

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Solution

The third proportional to 412.17 and 622.34 is: 939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 622.34 = 622.34 : x
  2. Step 2: Convert to fraction form
    412.17/622.34 = 622.34/x
  3. Step 3: Cross multiply
    412.17x = 622.34 × 622.34
  4. Step 4: Simplify right side
    412.17x = 387,302.02
  5. Step 5: Solve for x
    x = 387,302.02/412.17
  6. Step 6: Final answer
    x = 939.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.