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Finding the Third Proportional to 782 and 1,483

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Solution

The third proportional to 782 and 1,483 is: 2,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 1,483 = 1,483 : x
  2. Step 2: Convert to fraction form
    782/1,483 = 1,483/x
  3. Step 3: Cross multiply
    782x = 1,483 × 1,483
  4. Step 4: Simplify right side
    782x = 2,199,289
  5. Step 5: Solve for x
    x = 2,199,289/782
  6. Step 6: Final answer
    x = 2,812.39

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.