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Finding the Third Proportional to 571.56 and 1,229.81

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Solution

The third proportional to 571.56 and 1,229.81 is: 2,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.56 : 1,229.81 = 1,229.81 : x
  2. Step 2: Convert to fraction form
    571.56/1,229.81 = 1,229.81/x
  3. Step 3: Cross multiply
    571.56x = 1,229.81 × 1,229.81
  4. Step 4: Simplify right side
    571.56x = 1,512,438.79
  5. Step 5: Solve for x
    x = 1,512,438.79/571.56
  6. Step 6: Final answer
    x = 2,646.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.