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Finding the Third Proportional to 296.81 and 650.72

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Solution

The third proportional to 296.81 and 650.72 is: 1,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.81 : 650.72 = 650.72 : x
  2. Step 2: Convert to fraction form
    296.81/650.72 = 650.72/x
  3. Step 3: Cross multiply
    296.81x = 650.72 × 650.72
  4. Step 4: Simplify right side
    296.81x = 423,434.89
  5. Step 5: Solve for x
    x = 423,434.89/296.81
  6. Step 6: Final answer
    x = 1,426.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.