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Finding the Third Proportional to 509 and 790

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Solution

The third proportional to 509 and 790 is: 1,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 790 = 790 : x
  2. Step 2: Convert to fraction form
    509/790 = 790/x
  3. Step 3: Cross multiply
    509x = 790 × 790
  4. Step 4: Simplify right side
    509x = 624,100
  5. Step 5: Solve for x
    x = 624,100/509
  6. Step 6: Final answer
    x = 1,226.13

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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.