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Finding the Third Proportional to 829.25 and 1,327.75

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Solution

The third proportional to 829.25 and 1,327.75 is: 2,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.25 : 1,327.75 = 1,327.75 : x
  2. Step 2: Convert to fraction form
    829.25/1,327.75 = 1,327.75/x
  3. Step 3: Cross multiply
    829.25x = 1,327.75 × 1,327.75
  4. Step 4: Simplify right side
    829.25x = 1,762,920.06
  5. Step 5: Solve for x
    x = 1,762,920.06/829.25
  6. Step 6: Final answer
    x = 2,125.92

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.