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Finding the Third Proportional to 522.94 and 810.22

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Solution

The third proportional to 522.94 and 810.22 is: 1,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.94 : 810.22 = 810.22 : x
  2. Step 2: Convert to fraction form
    522.94/810.22 = 810.22/x
  3. Step 3: Cross multiply
    522.94x = 810.22 × 810.22
  4. Step 4: Simplify right side
    522.94x = 656,454.42
  5. Step 5: Solve for x
    x = 656,454.42/522.94
  6. Step 6: Final answer
    x = 1,255.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.