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Finding the Third Proportional to 964.62 and 1,441.23

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Solution

The third proportional to 964.62 and 1,441.23 is: 2,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.62 : 1,441.23 = 1,441.23 : x
  2. Step 2: Convert to fraction form
    964.62/1,441.23 = 1,441.23/x
  3. Step 3: Cross multiply
    964.62x = 1,441.23 × 1,441.23
  4. Step 4: Simplify right side
    964.62x = 2,077,145.26
  5. Step 5: Solve for x
    x = 2,077,145.26/964.62
  6. Step 6: Final answer
    x = 2,153.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.