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Finding the Third Proportional to 968.20 and 1,224.49

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Solution

The third proportional to 968.20 and 1,224.49 is: 1,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 1,224.49 = 1,224.49 : x
  2. Step 2: Convert to fraction form
    968.20/1,224.49 = 1,224.49/x
  3. Step 3: Cross multiply
    968.20x = 1,224.49 × 1,224.49
  4. Step 4: Simplify right side
    968.20x = 1,499,381.12
  5. Step 5: Solve for x
    x = 1,499,381.12/968.20
  6. Step 6: Final answer
    x = 1,548.62

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.