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Finding the Third Proportional to 808.52 and 1,732.36

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Solution

The third proportional to 808.52 and 1,732.36 is: 3,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.52 : 1,732.36 = 1,732.36 : x
  2. Step 2: Convert to fraction form
    808.52/1,732.36 = 1,732.36/x
  3. Step 3: Cross multiply
    808.52x = 1,732.36 × 1,732.36
  4. Step 4: Simplify right side
    808.52x = 3,001,069.00
  5. Step 5: Solve for x
    x = 3,001,069.00/808.52
  6. Step 6: Final answer
    x = 3,711.79

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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.