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Finding the Third Proportional to 650.81 and 923.91

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Solution

The third proportional to 650.81 and 923.91 is: 1,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.81 : 923.91 = 923.91 : x
  2. Step 2: Convert to fraction form
    650.81/923.91 = 923.91/x
  3. Step 3: Cross multiply
    650.81x = 923.91 × 923.91
  4. Step 4: Simplify right side
    650.81x = 853,602.76
  5. Step 5: Solve for x
    x = 853,602.76/650.81
  6. Step 6: Final answer
    x = 1,311.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.