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Finding the Third Proportional to 418.61 and 913.46

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Solution

The third proportional to 418.61 and 913.46 is: 1,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 913.46 = 913.46 : x
  2. Step 2: Convert to fraction form
    418.61/913.46 = 913.46/x
  3. Step 3: Cross multiply
    418.61x = 913.46 × 913.46
  4. Step 4: Simplify right side
    418.61x = 834,418.02
  5. Step 5: Solve for x
    x = 834,418.02/418.61
  6. Step 6: Final answer
    x = 1,993.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.