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Finding the Third Proportional to 509 and 874

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Solution

The third proportional to 509 and 874 is: 1,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 874 = 874 : x
  2. Step 2: Convert to fraction form
    509/874 = 874/x
  3. Step 3: Cross multiply
    509x = 874 × 874
  4. Step 4: Simplify right side
    509x = 763,876
  5. Step 5: Solve for x
    x = 763,876/509
  6. Step 6: Final answer
    x = 1,500.74

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.