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Finding the Third Proportional to 580.69 and 886.41

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Solution

The third proportional to 580.69 and 886.41 is: 1,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 886.41 = 886.41 : x
  2. Step 2: Convert to fraction form
    580.69/886.41 = 886.41/x
  3. Step 3: Cross multiply
    580.69x = 886.41 × 886.41
  4. Step 4: Simplify right side
    580.69x = 785,716.04
  5. Step 5: Solve for x
    x = 785,716.04/580.69
  6. Step 6: Final answer
    x = 1,353.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.