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Finding the Third Proportional to 412.69 and 639.94

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Solution

The third proportional to 412.69 and 639.94 is: 992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.69 : 639.94 = 639.94 : x
  2. Step 2: Convert to fraction form
    412.69/639.94 = 639.94/x
  3. Step 3: Cross multiply
    412.69x = 639.94 × 639.94
  4. Step 4: Simplify right side
    412.69x = 409,520.00
  5. Step 5: Solve for x
    x = 409,520.00/412.69
  6. Step 6: Final answer
    x = 992.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.