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Finding the Third Proportional to 393.94 and 590.91

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Solution

The third proportional to 393.94 and 590.91 is: 886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.94 : 590.91 = 590.91 : x
  2. Step 2: Convert to fraction form
    393.94/590.91 = 590.91/x
  3. Step 3: Cross multiply
    393.94x = 590.91 × 590.91
  4. Step 4: Simplify right side
    393.94x = 349,170.20
  5. Step 5: Solve for x
    x = 349,170.20/393.94
  6. Step 6: Final answer
    x = 886.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.