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Finding the Third Proportional to 576 and 767.81

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Solution

The third proportional to 576 and 767.81 is: 1,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 767.81 = 767.81 : x
  2. Step 2: Convert to fraction form
    576/767.81 = 767.81/x
  3. Step 3: Cross multiply
    576x = 767.81 × 767.81
  4. Step 4: Simplify right side
    576x = 589,536.04
  5. Step 5: Solve for x
    x = 589,536.04/576
  6. Step 6: Final answer
    x = 1,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.