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Finding the Third Proportional to 591.07 and 944.27

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Solution

The third proportional to 591.07 and 944.27 is: 1,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.07 : 944.27 = 944.27 : x
  2. Step 2: Convert to fraction form
    591.07/944.27 = 944.27/x
  3. Step 3: Cross multiply
    591.07x = 944.27 × 944.27
  4. Step 4: Simplify right side
    591.07x = 891,636.42
  5. Step 5: Solve for x
    x = 891,636.42/591.07
  6. Step 6: Final answer
    x = 1,508.52

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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.