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Finding the Third Proportional to 509.50 and 834.75

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Solution

The third proportional to 509.50 and 834.75 is: 1,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 834.75 = 834.75 : x
  2. Step 2: Convert to fraction form
    509.50/834.75 = 834.75/x
  3. Step 3: Cross multiply
    509.50x = 834.75 × 834.75
  4. Step 4: Simplify right side
    509.50x = 696,807.56
  5. Step 5: Solve for x
    x = 696,807.56/509.50
  6. Step 6: Final answer
    x = 1,367.63

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.