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Finding the Third Proportional to 708.69 and 1,063.81

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Solution

The third proportional to 708.69 and 1,063.81 is: 1,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.69 : 1,063.81 = 1,063.81 : x
  2. Step 2: Convert to fraction form
    708.69/1,063.81 = 1,063.81/x
  3. Step 3: Cross multiply
    708.69x = 1,063.81 × 1,063.81
  4. Step 4: Simplify right side
    708.69x = 1,131,697.04
  5. Step 5: Solve for x
    x = 1,131,697.04/708.69
  6. Step 6: Final answer
    x = 1,596.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.