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Finding the Third Proportional to 846.25 and 1,726

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Solution

The third proportional to 846.25 and 1,726 is: 3,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.25 : 1,726 = 1,726 : x
  2. Step 2: Convert to fraction form
    846.25/1,726 = 1,726/x
  3. Step 3: Cross multiply
    846.25x = 1,726 × 1,726
  4. Step 4: Simplify right side
    846.25x = 2,979,076
  5. Step 5: Solve for x
    x = 2,979,076/846.25
  6. Step 6: Final answer
    x = 3,520.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.