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Finding the Third Proportional to 364.50 and 765.75

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Solution

The third proportional to 364.50 and 765.75 is: 1,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.50 : 765.75 = 765.75 : x
  2. Step 2: Convert to fraction form
    364.50/765.75 = 765.75/x
  3. Step 3: Cross multiply
    364.50x = 765.75 × 765.75
  4. Step 4: Simplify right side
    364.50x = 586,373.06
  5. Step 5: Solve for x
    x = 586,373.06/364.50
  6. Step 6: Final answer
    x = 1,608.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.