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Finding the Third Proportional to 365.21 and 788.09

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Solution

The third proportional to 365.21 and 788.09 is: 1,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 788.09 = 788.09 : x
  2. Step 2: Convert to fraction form
    365.21/788.09 = 788.09/x
  3. Step 3: Cross multiply
    365.21x = 788.09 × 788.09
  4. Step 4: Simplify right side
    365.21x = 621,084.06
  5. Step 5: Solve for x
    x = 621,084.06/365.21
  6. Step 6: Final answer
    x = 1,700.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.