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Finding the Third Proportional to 509.81 and 1,074.75

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Solution

The third proportional to 509.81 and 1,074.75 is: 2,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.81 : 1,074.75 = 1,074.75 : x
  2. Step 2: Convert to fraction form
    509.81/1,074.75 = 1,074.75/x
  3. Step 3: Cross multiply
    509.81x = 1,074.75 × 1,074.75
  4. Step 4: Simplify right side
    509.81x = 1,155,087.56
  5. Step 5: Solve for x
    x = 1,155,087.56/509.81
  6. Step 6: Final answer
    x = 2,265.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.