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Finding the Third Proportional to 808.73 and 1,727.58

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Solution

The third proportional to 808.73 and 1,727.58 is: 3,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.73 : 1,727.58 = 1,727.58 : x
  2. Step 2: Convert to fraction form
    808.73/1,727.58 = 1,727.58/x
  3. Step 3: Cross multiply
    808.73x = 1,727.58 × 1,727.58
  4. Step 4: Simplify right side
    808.73x = 2,984,526.18
  5. Step 5: Solve for x
    x = 2,984,526.18/808.73
  6. Step 6: Final answer
    x = 3,690.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.