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Finding the Third Proportional to 394.04 and 586.26

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Solution

The third proportional to 394.04 and 586.26 is: 872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.04 : 586.26 = 586.26 : x
  2. Step 2: Convert to fraction form
    394.04/586.26 = 586.26/x
  3. Step 3: Cross multiply
    394.04x = 586.26 × 586.26
  4. Step 4: Simplify right side
    394.04x = 343,702.23
  5. Step 5: Solve for x
    x = 343,702.23/394.04
  6. Step 6: Final answer
    x = 872.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.