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Finding the Third Proportional to 849.94 and 1,045.69

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Solution

The third proportional to 849.94 and 1,045.69 is: 1,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.94 : 1,045.69 = 1,045.69 : x
  2. Step 2: Convert to fraction form
    849.94/1,045.69 = 1,045.69/x
  3. Step 3: Cross multiply
    849.94x = 1,045.69 × 1,045.69
  4. Step 4: Simplify right side
    849.94x = 1,093,462.35
  5. Step 5: Solve for x
    x = 1,093,462.35/849.94
  6. Step 6: Final answer
    x = 1,286.52

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.