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Finding the Third Proportional to 580.75 and 899.75

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Solution

The third proportional to 580.75 and 899.75 is: 1,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.75 : 899.75 = 899.75 : x
  2. Step 2: Convert to fraction form
    580.75/899.75 = 899.75/x
  3. Step 3: Cross multiply
    580.75x = 899.75 × 899.75
  4. Step 4: Simplify right side
    580.75x = 809,550.06
  5. Step 5: Solve for x
    x = 809,550.06/580.75
  6. Step 6: Final answer
    x = 1,393.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.