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Finding the Third Proportional to 562.23 and 843.35

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Solution

The third proportional to 562.23 and 843.35 is: 1,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.23 : 843.35 = 843.35 : x
  2. Step 2: Convert to fraction form
    562.23/843.35 = 843.35/x
  3. Step 3: Cross multiply
    562.23x = 843.35 × 843.35
  4. Step 4: Simplify right side
    562.23x = 711,241.24
  5. Step 5: Solve for x
    x = 711,241.24/562.23
  6. Step 6: Final answer
    x = 1,265.03

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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.