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Finding the Third Proportional to 520.17 and 797.34

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Solution

The third proportional to 520.17 and 797.34 is: 1,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 797.34 = 797.34 : x
  2. Step 2: Convert to fraction form
    520.17/797.34 = 797.34/x
  3. Step 3: Cross multiply
    520.17x = 797.34 × 797.34
  4. Step 4: Simplify right side
    520.17x = 635,757.06
  5. Step 5: Solve for x
    x = 635,757.06/520.17
  6. Step 6: Final answer
    x = 1,222.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.