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Finding the Third Proportional to 708.12 and 1,727.58

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Solution

The third proportional to 708.12 and 1,727.58 is: 4,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.12 : 1,727.58 = 1,727.58 : x
  2. Step 2: Convert to fraction form
    708.12/1,727.58 = 1,727.58/x
  3. Step 3: Cross multiply
    708.12x = 1,727.58 × 1,727.58
  4. Step 4: Simplify right side
    708.12x = 2,984,526.18
  5. Step 5: Solve for x
    x = 2,984,526.18/708.12
  6. Step 6: Final answer
    x = 4,214.73

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.