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Finding the Third Proportional to 328.97 and 509.39

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Solution

The third proportional to 328.97 and 509.39 is: 788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.97 : 509.39 = 509.39 : x
  2. Step 2: Convert to fraction form
    328.97/509.39 = 509.39/x
  3. Step 3: Cross multiply
    328.97x = 509.39 × 509.39
  4. Step 4: Simplify right side
    328.97x = 259,478.81
  5. Step 5: Solve for x
    x = 259,478.81/328.97
  6. Step 6: Final answer
    x = 788.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.