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Finding the Third Proportional to 573.96 and 860.94

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Solution

The third proportional to 573.96 and 860.94 is: 1,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.96 : 860.94 = 860.94 : x
  2. Step 2: Convert to fraction form
    573.96/860.94 = 860.94/x
  3. Step 3: Cross multiply
    573.96x = 860.94 × 860.94
  4. Step 4: Simplify right side
    573.96x = 741,220.10
  5. Step 5: Solve for x
    x = 741,220.10/573.96
  6. Step 6: Final answer
    x = 1,291.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.