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Finding the Third Proportional to 560.81 and 1,229.34

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Solution

The third proportional to 560.81 and 1,229.34 is: 2,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.81 : 1,229.34 = 1,229.34 : x
  2. Step 2: Convert to fraction form
    560.81/1,229.34 = 1,229.34/x
  3. Step 3: Cross multiply
    560.81x = 1,229.34 × 1,229.34
  4. Step 4: Simplify right side
    560.81x = 1,511,286.06
  5. Step 5: Solve for x
    x = 1,511,286.06/560.81
  6. Step 6: Final answer
    x = 2,694.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.