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Finding the Third Proportional to 785.81 and 918.56

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Solution

The third proportional to 785.81 and 918.56 is: 1,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.81 : 918.56 = 918.56 : x
  2. Step 2: Convert to fraction form
    785.81/918.56 = 918.56/x
  3. Step 3: Cross multiply
    785.81x = 918.56 × 918.56
  4. Step 4: Simplify right side
    785.81x = 843,757.07
  5. Step 5: Solve for x
    x = 843,757.07/785.81
  6. Step 6: Final answer
    x = 1,073.74

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.