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Finding the Third Proportional to 606.94 and 854.72

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Solution

The third proportional to 606.94 and 854.72 is: 1,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.94 : 854.72 = 854.72 : x
  2. Step 2: Convert to fraction form
    606.94/854.72 = 854.72/x
  3. Step 3: Cross multiply
    606.94x = 854.72 × 854.72
  4. Step 4: Simplify right side
    606.94x = 730,544.14
  5. Step 5: Solve for x
    x = 730,544.14/606.94
  6. Step 6: Final answer
    x = 1,203.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.