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Finding the Third Proportional to 580.50 and 1,023.75

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Solution

The third proportional to 580.50 and 1,023.75 is: 1,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.50 : 1,023.75 = 1,023.75 : x
  2. Step 2: Convert to fraction form
    580.50/1,023.75 = 1,023.75/x
  3. Step 3: Cross multiply
    580.50x = 1,023.75 × 1,023.75
  4. Step 4: Simplify right side
    580.50x = 1,048,064.06
  5. Step 5: Solve for x
    x = 1,048,064.06/580.50
  6. Step 6: Final answer
    x = 1,805.45

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.