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Finding the Third Proportional to 364.75 and 765.88

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Solution

The third proportional to 364.75 and 765.88 is: 1,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.75 : 765.88 = 765.88 : x
  2. Step 2: Convert to fraction form
    364.75/765.88 = 765.88/x
  3. Step 3: Cross multiply
    364.75x = 765.88 × 765.88
  4. Step 4: Simplify right side
    364.75x = 586,564.52
  5. Step 5: Solve for x
    x = 586,564.52/364.75
  6. Step 6: Final answer
    x = 1,608.13

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