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Finding the Third Proportional to 568.31 and 1,223.81

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Solution

The third proportional to 568.31 and 1,223.81 is: 2,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.31 : 1,223.81 = 1,223.81 : x
  2. Step 2: Convert to fraction form
    568.31/1,223.81 = 1,223.81/x
  3. Step 3: Cross multiply
    568.31x = 1,223.81 × 1,223.81
  4. Step 4: Simplify right side
    568.31x = 1,497,717.04
  5. Step 5: Solve for x
    x = 1,497,717.04/568.31
  6. Step 6: Final answer
    x = 2,635.38

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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.