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Finding the Third Proportional to 562.69 and 844.03

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Solution

The third proportional to 562.69 and 844.03 is: 1,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 844.03 = 844.03 : x
  2. Step 2: Convert to fraction form
    562.69/844.03 = 844.03/x
  3. Step 3: Cross multiply
    562.69x = 844.03 × 844.03
  4. Step 4: Simplify right side
    562.69x = 712,388.75
  5. Step 5: Solve for x
    x = 712,388.75/562.69
  6. Step 6: Final answer
    x = 1,266.05

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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.