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Finding the Third Proportional to 374.82 and 562.23

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Solution

The third proportional to 374.82 and 562.23 is: 843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.82 : 562.23 = 562.23 : x
  2. Step 2: Convert to fraction form
    374.82/562.23 = 562.23/x
  3. Step 3: Cross multiply
    374.82x = 562.23 × 562.23
  4. Step 4: Simplify right side
    374.82x = 316,107.22
  5. Step 5: Solve for x
    x = 316,107.22/374.82
  6. Step 6: Final answer
    x = 843.35

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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.