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Finding the Third Proportional to 964.69 and 1,446.19

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Solution

The third proportional to 964.69 and 1,446.19 is: 2,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.69 : 1,446.19 = 1,446.19 : x
  2. Step 2: Convert to fraction form
    964.69/1,446.19 = 1,446.19/x
  3. Step 3: Cross multiply
    964.69x = 1,446.19 × 1,446.19
  4. Step 4: Simplify right side
    964.69x = 2,091,458.29
  5. Step 5: Solve for x
    x = 2,091,458.29/964.69
  6. Step 6: Final answer
    x = 2,168.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.