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Finding the Third Proportional to 506 and 789

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Solution

The third proportional to 506 and 789 is: 1,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 789 = 789 : x
  2. Step 2: Convert to fraction form
    506/789 = 789/x
  3. Step 3: Cross multiply
    506x = 789 × 789
  4. Step 4: Simplify right side
    506x = 622,521
  5. Step 5: Solve for x
    x = 622,521/506
  6. Step 6: Final answer
    x = 1,230.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.