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Finding the Third Proportional to 321.05 and 508.99

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Solution

The third proportional to 321.05 and 508.99 is: 806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.05 : 508.99 = 508.99 : x
  2. Step 2: Convert to fraction form
    321.05/508.99 = 508.99/x
  3. Step 3: Cross multiply
    321.05x = 508.99 × 508.99
  4. Step 4: Simplify right side
    321.05x = 259,073.05
  5. Step 5: Solve for x
    x = 259,073.05/321.05
  6. Step 6: Final answer
    x = 806.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.