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Finding the Third Proportional to 580.56 and 1,250

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Solution

The third proportional to 580.56 and 1,250 is: 2,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 1,250 = 1,250 : x
  2. Step 2: Convert to fraction form
    580.56/1,250 = 1,250/x
  3. Step 3: Cross multiply
    580.56x = 1,250 × 1,250
  4. Step 4: Simplify right side
    580.56x = 1,562,500
  5. Step 5: Solve for x
    x = 1,562,500/580.56
  6. Step 6: Final answer
    x = 2,691.36

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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.