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Finding the Third Proportional to 654.19 and 708.19

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Solution

The third proportional to 654.19 and 708.19 is: 766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.19 : 708.19 = 708.19 : x
  2. Step 2: Convert to fraction form
    654.19/708.19 = 708.19/x
  3. Step 3: Cross multiply
    654.19x = 708.19 × 708.19
  4. Step 4: Simplify right side
    654.19x = 501,529.54
  5. Step 5: Solve for x
    x = 501,529.54/654.19
  6. Step 6: Final answer
    x = 766.64

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.