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Finding the Third Proportional to 1,219 and 1,763

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Solution

The third proportional to 1,219 and 1,763 is: 2,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219 : 1,763 = 1,763 : x
  2. Step 2: Convert to fraction form
    1,219/1,763 = 1,763/x
  3. Step 3: Cross multiply
    1,219x = 1,763 × 1,763
  4. Step 4: Simplify right side
    1,219x = 3,108,169
  5. Step 5: Solve for x
    x = 3,108,169/1,219
  6. Step 6: Final answer
    x = 2,549.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.