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Finding the Third Proportional to 597.66 and 806.91

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Solution

The third proportional to 597.66 and 806.91 is: 1,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 806.91 = 806.91 : x
  2. Step 2: Convert to fraction form
    597.66/806.91 = 806.91/x
  3. Step 3: Cross multiply
    597.66x = 806.91 × 806.91
  4. Step 4: Simplify right side
    597.66x = 651,097.70
  5. Step 5: Solve for x
    x = 651,097.70/597.66
  6. Step 6: Final answer
    x = 1,089.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.