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Finding the Third Proportional to 500.24 and 1,151.40

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Solution

The third proportional to 500.24 and 1,151.40 is: 2,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.24 : 1,151.40 = 1,151.40 : x
  2. Step 2: Convert to fraction form
    500.24/1,151.40 = 1,151.40/x
  3. Step 3: Cross multiply
    500.24x = 1,151.40 × 1,151.40
  4. Step 4: Simplify right side
    500.24x = 1,325,727.36
  5. Step 5: Solve for x
    x = 1,325,727.36/500.24
  6. Step 6: Final answer
    x = 2,650.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.