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Finding the Third Proportional to 360.88 and 767.88

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Solution

The third proportional to 360.88 and 767.88 is: 1,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.88 : 767.88 = 767.88 : x
  2. Step 2: Convert to fraction form
    360.88/767.88 = 767.88/x
  3. Step 3: Cross multiply
    360.88x = 767.88 × 767.88
  4. Step 4: Simplify right side
    360.88x = 589,632.02
  5. Step 5: Solve for x
    x = 589,632.02/360.88
  6. Step 6: Final answer
    x = 1,633.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.