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Finding the Third Proportional to 496.34 and 767.92

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Solution

The third proportional to 496.34 and 767.92 is: 1,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.34 : 767.92 = 767.92 : x
  2. Step 2: Convert to fraction form
    496.34/767.92 = 767.92/x
  3. Step 3: Cross multiply
    496.34x = 767.92 × 767.92
  4. Step 4: Simplify right side
    496.34x = 589,698.01
  5. Step 5: Solve for x
    x = 589,698.01/496.34
  6. Step 6: Final answer
    x = 1,188.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.