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Finding the Third Proportional to 540.84 and 765.28

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Solution

The third proportional to 540.84 and 765.28 is: 1,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 765.28 = 765.28 : x
  2. Step 2: Convert to fraction form
    540.84/765.28 = 765.28/x
  3. Step 3: Cross multiply
    540.84x = 765.28 × 765.28
  4. Step 4: Simplify right side
    540.84x = 585,655.39
  5. Step 5: Solve for x
    x = 585,655.39/540.84
  6. Step 6: Final answer
    x = 1,082.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.