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Finding the Third Proportional to 708.89 and 1,063.97

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Solution

The third proportional to 708.89 and 1,063.97 is: 1,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.89 : 1,063.97 = 1,063.97 : x
  2. Step 2: Convert to fraction form
    708.89/1,063.97 = 1,063.97/x
  3. Step 3: Cross multiply
    708.89x = 1,063.97 × 1,063.97
  4. Step 4: Simplify right side
    708.89x = 1,132,029.50
  5. Step 5: Solve for x
    x = 1,132,029.50/708.89
  6. Step 6: Final answer
    x = 1,596.90

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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.