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Finding the Third Proportional to 509 and 789

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Solution

The third proportional to 509 and 789 is: 1,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 789 = 789 : x
  2. Step 2: Convert to fraction form
    509/789 = 789/x
  3. Step 3: Cross multiply
    509x = 789 × 789
  4. Step 4: Simplify right side
    509x = 622,521
  5. Step 5: Solve for x
    x = 622,521/509
  6. Step 6: Final answer
    x = 1,223.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.