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Finding the Third Proportional to 604.97 and 846.70

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Solution

The third proportional to 604.97 and 846.70 is: 1,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.97 : 846.70 = 846.70 : x
  2. Step 2: Convert to fraction form
    604.97/846.70 = 846.70/x
  3. Step 3: Cross multiply
    604.97x = 846.70 × 846.70
  4. Step 4: Simplify right side
    604.97x = 716,906.18
  5. Step 5: Solve for x
    x = 716,906.18/604.97
  6. Step 6: Final answer
    x = 1,185.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.