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Finding the Third Proportional to 708.56 and 1,085.44

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Solution

The third proportional to 708.56 and 1,085.44 is: 1,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.56 : 1,085.44 = 1,085.44 : x
  2. Step 2: Convert to fraction form
    708.56/1,085.44 = 1,085.44/x
  3. Step 3: Cross multiply
    708.56x = 1,085.44 × 1,085.44
  4. Step 4: Simplify right side
    708.56x = 1,178,174.57
  5. Step 5: Solve for x
    x = 1,178,174.57/708.56
  6. Step 6: Final answer
    x = 1,662.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.