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Finding the Third Proportional to 809.25 and 1,701.75

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Solution

The third proportional to 809.25 and 1,701.75 is: 3,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.25 : 1,701.75 = 1,701.75 : x
  2. Step 2: Convert to fraction form
    809.25/1,701.75 = 1,701.75/x
  3. Step 3: Cross multiply
    809.25x = 1,701.75 × 1,701.75
  4. Step 4: Simplify right side
    809.25x = 2,895,953.06
  5. Step 5: Solve for x
    x = 2,895,953.06/809.25
  6. Step 6: Final answer
    x = 3,578.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.