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Finding the Third Proportional to 244.38 and 560.94

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Solution

The third proportional to 244.38 and 560.94 is: 1,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.38 : 560.94 = 560.94 : x
  2. Step 2: Convert to fraction form
    244.38/560.94 = 560.94/x
  3. Step 3: Cross multiply
    244.38x = 560.94 × 560.94
  4. Step 4: Simplify right side
    244.38x = 314,650.88
  5. Step 5: Solve for x
    x = 314,650.88/244.38
  6. Step 6: Final answer
    x = 1,287.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.