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Finding the Third Proportional to 868.31 and 1,222.78

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Solution

The third proportional to 868.31 and 1,222.78 is: 1,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.31 : 1,222.78 = 1,222.78 : x
  2. Step 2: Convert to fraction form
    868.31/1,222.78 = 1,222.78/x
  3. Step 3: Cross multiply
    868.31x = 1,222.78 × 1,222.78
  4. Step 4: Simplify right side
    868.31x = 1,495,193.99
  5. Step 5: Solve for x
    x = 1,495,193.99/868.31
  6. Step 6: Final answer
    x = 1,721.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.