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Finding the Third Proportional to 539.16 and 852.16

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Solution

The third proportional to 539.16 and 852.16 is: 1,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 852.16 = 852.16 : x
  2. Step 2: Convert to fraction form
    539.16/852.16 = 852.16/x
  3. Step 3: Cross multiply
    539.16x = 852.16 × 852.16
  4. Step 4: Simplify right side
    539.16x = 726,178.60
  5. Step 5: Solve for x
    x = 726,178.60/539.16
  6. Step 6: Final answer
    x = 1,346.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.