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Finding the Third Proportional to 592.69 and 850.22

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Solution

The third proportional to 592.69 and 850.22 is: 1,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.69 : 850.22 = 850.22 : x
  2. Step 2: Convert to fraction form
    592.69/850.22 = 850.22/x
  3. Step 3: Cross multiply
    592.69x = 850.22 × 850.22
  4. Step 4: Simplify right side
    592.69x = 722,871.92
  5. Step 5: Solve for x
    x = 722,871.92/592.69
  6. Step 6: Final answer
    x = 1,219.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.