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Finding the Third Proportional to 500.24 and 1,091.60

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Solution

The third proportional to 500.24 and 1,091.60 is: 2,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.24 : 1,091.60 = 1,091.60 : x
  2. Step 2: Convert to fraction form
    500.24/1,091.60 = 1,091.60/x
  3. Step 3: Cross multiply
    500.24x = 1,091.60 × 1,091.60
  4. Step 4: Simplify right side
    500.24x = 1,191,593.97
  5. Step 5: Solve for x
    x = 1,191,593.97/500.24
  6. Step 6: Final answer
    x = 2,382.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.