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Finding the Third Proportional to 564.05 and 1,204.88

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Solution

The third proportional to 564.05 and 1,204.88 is: 2,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 1,204.88 = 1,204.88 : x
  2. Step 2: Convert to fraction form
    564.05/1,204.88 = 1,204.88/x
  3. Step 3: Cross multiply
    564.05x = 1,204.88 × 1,204.88
  4. Step 4: Simplify right side
    564.05x = 1,451,723.77
  5. Step 5: Solve for x
    x = 1,451,723.77/564.05
  6. Step 6: Final answer
    x = 2,573.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.