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Finding the Third Proportional to 520.17 and 1,131.05

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Solution

The third proportional to 520.17 and 1,131.05 is: 2,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.17 : 1,131.05 = 1,131.05 : x
  2. Step 2: Convert to fraction form
    520.17/1,131.05 = 1,131.05/x
  3. Step 3: Cross multiply
    520.17x = 1,131.05 × 1,131.05
  4. Step 4: Simplify right side
    520.17x = 1,279,267.03
  5. Step 5: Solve for x
    x = 1,279,267.03/520.17
  6. Step 6: Final answer
    x = 2,459.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.