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Finding the Third Proportional to 614.94 and 708.91

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Solution

The third proportional to 614.94 and 708.91 is: 817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.94 : 708.91 = 708.91 : x
  2. Step 2: Convert to fraction form
    614.94/708.91 = 708.91/x
  3. Step 3: Cross multiply
    614.94x = 708.91 × 708.91
  4. Step 4: Simplify right side
    614.94x = 502,550.84
  5. Step 5: Solve for x
    x = 502,550.84/614.94
  6. Step 6: Final answer
    x = 817.24

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.