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Finding the Third Proportional to 452.07 and 699.81

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Solution

The third proportional to 452.07 and 699.81 is: 1,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 699.81 = 699.81 : x
  2. Step 2: Convert to fraction form
    452.07/699.81 = 699.81/x
  3. Step 3: Cross multiply
    452.07x = 699.81 × 699.81
  4. Step 4: Simplify right side
    452.07x = 489,736.17
  5. Step 5: Solve for x
    x = 489,736.17/452.07
  6. Step 6: Final answer
    x = 1,083.33

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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.