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Finding the Third Proportional to 649.27 and 962.51

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Solution

The third proportional to 649.27 and 962.51 is: 1,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 962.51 = 962.51 : x
  2. Step 2: Convert to fraction form
    649.27/962.51 = 962.51/x
  3. Step 3: Cross multiply
    649.27x = 962.51 × 962.51
  4. Step 4: Simplify right side
    649.27x = 926,421.29
  5. Step 5: Solve for x
    x = 926,421.29/649.27
  6. Step 6: Final answer
    x = 1,426.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.